A triple of threes

Algebra Level 1

If a = b + 4 a = b + 4 , what is the value of

3 a 3 b + 3 ? 3 a - 3 b + 3 ?


The answer is 15.

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37 solutions

Darshan Lal
Oct 28, 2013

as a=b+4, 3(b+4)-3b+3, by putting the value of a in 3a-3b+3 = 3b+12-3b+3 =15

I think as a=b+4, 3a-3b+3=3(b+4)-3b+3=3((b+4)-b+3)=3(b+4-b+3)=3*7=21???

Vượng Nguyễn - 7 years, 7 months ago

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Your method is wrong. you wrote, 3((b+4)-b+3) b+4 is in the brackets.. and u can't subtract b which is outside the bracket with the b inside the brackets.. so, 3(b+4)-3b+3= 3b+12-3b+3=15

Anupam Venugopal - 7 years, 7 months ago
Edmon Bosch
Oct 28, 2013

Let's start the answer:

If it says that a=b+4 then:

3 a 3 b + 3 = 3 ( b + 4 ) 3 b + 3 = 3a-3b+3= 3(b+4)-3b+3= = 3 b + 12 3 b + 3 = 12 + 3 = 15 =3b+12-3b+3= 12+3 =15 The result is 15 \boxed{15}

Very clear explanation of what you are doing.

Calvin Lin Staff - 7 years, 7 months ago

thank you

Arjelina Ilagan - 7 years, 7 months ago

thanks

Philip Chua - 7 years, 7 months ago

thanks

Nakshtra Maheshwari - 7 years, 7 months ago

I think as a=b+4, 3a-3b+3=3(b+4)-3b+3=3((b+4)-b+3)=3(b+4-b+3)=3*7=21???

Vượng Nguyễn - 7 years, 7 months ago
Syed Imad Azeem
Mar 12, 2014

If a=b+4
then a-b=4

3a-3b+3
3(a-b+1)............................a-b=4
3(4+1)
15


  • a - b = 4
  • 3 ( a - b ) = 12
  • 3a - 3b = 12
  • so, 3a - 3b + 3 = 12 + 3 = 15
Somaia Ahmed
Nov 2, 2013

b + 4= a b - a= - 4 a - b= 4 3 (a - b ) = 3 (4) 3a - 3b = 12 12 + 3 = 15

Baig Ge
Nov 1, 2013

if a=b+4 then eq : 3a-3b+3......... (1)

put the value of "a" in eq : 3(b+4)-3b+3 ......... (2) 3b+12-3b+3 +3b-3b+12+3 0 + 15 = 15 ans : 15

Waqar Azmat
Oct 27, 2013

when I put the value of a in eq b was cancelled and value came was 15

deair my kybord is normal not statistics !! so im no reaplyy

Bilal Hasan - 7 years, 7 months ago
Shanthanu Rai
Feb 21, 2016

Given a=b+4
i.e, a-b=4
So, 3a-3b+3=3(a-b)+3
= 3 4 + 3 3*4+3
=15



Waleed Qaimkhani
Jan 5, 2014

if a=b+4 put in 3a-3b+3 3(b+4)-3b+3 3b+12-3b+3 15ans

3a - 3b +3 = 3(b+4) -3b +3 = 3b + 12 - 3b +3 = 3b - 3b +15 =15

Absec Panda
Nov 3, 2013

3a-3b+3=3b+12-3b+3=15

Maurice Patel
Nov 3, 2013

a=b+4; a-b=4; 3a-3b+3=3(a-b)+3 =(3*4)+3 =15

Jean Viray
Nov 3, 2013

= 3(b+4) - 3b + 3 = 3b + 12 - 3b + 3 = cancel 3b - 3b since it is equal to zero then add 12 + 3 = 15

If a = b + 4 , then substitute a from the equation 3a - 3b + 3 .
3(b + 4) - 3b + 3
3b + 12 - 3b + 3
12 + 3
15 \boxed{15}



Coleen De Guzman
Nov 3, 2013

a=b+4 substitute: 3a-3b+3 it will become: 3(b+4)-3b+3 multiply 3(b+4) then solve, it will become something like this: 3b+12-3b+3 then solve common term (3b-3b) will be eliminated then, 12+3=15 that's your answer

Sai Vamsi
Nov 2, 2013

Substitute a=b+4 in 3a-3b+3. Then 3(b+4)-3b+3,Then you will get answer

Urfi Rihhadatula
Nov 2, 2013

If a = b + 4

So 3a - 3b + 3 = 3(b+4) - 3b +3 = 3b +12 -3b + 3 = 15

Kenji Hashimoto
Nov 2, 2013

substitute the value of a to 3a - 3b + 3 to get the value of b,

3a - 3b + 3

=3(b+4) - 3b + 3 = 3b + 12 - 3b + 3

= 3b + 3b = 3 - 12

= 6b = -9

= b = -9/6 or -3/2

now substitute the value of b to a = b + 4 to get the value of a,

a = b + 4

a = (-3/2) + 4

a = 5/2

now that we have the value of a and b we substitute it to 3a - 3b +3,

3a - 3b + 3

= 3(5/2) - 3(-9/2) + 3

= 15/2 + 9/2 + 3

= 15

the value of 3a - 3b +3 is 15

Muhammad Tio
Nov 2, 2013

3a-3b+3= 3b+12-3b+3= 3b-3b+12+3= 12+3= 15

Bon Demetrial
Nov 2, 2013

=3(b+4)-3b+3 =3b+12-3b+3 ~cancel the two 3b =12+3 =15

Anupam Venugopal
Nov 1, 2013

3a-3b+3 since a=b+4 3(b+4)-3b+3 ie, 3b+12-3b+3 = 12+3 =15

Nandini Bansal
Nov 1, 2013

3(b+4)-3b+3 3b+12-3b+3 (+3b CANCEL -3b) 15

Ashwini Kumar
Nov 1, 2013

firstly,put the value of a=b + 4 then,multiply 3 by (b + 4) then,the equation becomes 3b + 12 - 3b + 3 then,solve 3b-3b=0 then,12 + 3 remains and the answer will be 15

Kaushik Adk
Nov 1, 2013

a=b=4 =>a-b=4 =>3(a-b)=3*4 =>3a-3b=12 so, 3a-3b+3=15

Salma Taha
Nov 1, 2013

3(b+4)-3b+3? 3b+12-3b+3? 12+3=15

Sai Kiran
Nov 1, 2013

a=b+4 so a-b=4 in the givn equation take 3 common n de equation is 3(a-b+1) so substitue a-b=4 in dat equation 3(4+1) 3(5)=15

Melvin Benigay
Nov 1, 2013

3a-3b-3=0.......since, a=b+4

so, 3(b+4)-3b+3 3b+12-3b+3 3b-3b+12+3 0+15 15 so, the answer is 15.........

Anfas Nujum
Nov 1, 2013

We want to find the value of 3a - 3b + 3 .We are given that a = b + 4 so when we give the value of a in the euation to find,we get 3(b +4) - 3b + 3 = 3b + 12 - 3b + 3 = 12 +3 = 15 . Therefore, 15 is the answer.

Shubham Chaudhary
Oct 31, 2013

a-b=4

3 (a-b)+3=3 4+3=15

actually it is 3x4+3=15

Shubham Chaudhary - 7 years, 7 months ago
Misty Tabuldan
Oct 31, 2013
  1. 3(b+4) - 3b + 3
  2. 3b + 12 - 3b + 3
  3. (3b - 3b) + 12 + 3
  4. 0 + 12 + 3 =15
Aryan Dev
Oct 31, 2013

a=b+4 3(b+4)-3b+3 3b+12-3b+3 15

Milind Prabhu
Oct 30, 2013

a=b+4 (given) then 3a=3(b+4)

3a-3b+3=(3b+12)-3b+3

3b+12-3b+3=15

Ellin Juniarti .
Oct 30, 2013

3a - 3b + 3 = 3(b + 4) - 3b + 3 = 3b + 12 - 3b + 3 = 15

Ilham Adiyaksa
Oct 30, 2013

a=b+4,

a-b=4

so, 3a - 3b + 3

= 3(a-b) + 3

= 3 x 4 + 3

= 12 + 3

= 15

Cee Jhay Castro
Oct 29, 2013

by substituting the value of a, you would get 3(b+4)-3b+3. then it will be 3b+12-3b+3. then by Addition Property, the answer will be 15.

Hatim Khatir
Oct 29, 2013

3a-3b+3 = 3(a-b) +3 but from the question a=b+4 and a-b=4 so, 3(a-b)+3= 3(4)+3= 12+ 3 = 15 where 15 is the correct answer

HamzAh Rana
Oct 28, 2013

if a = b+4, also 3a-3b+4 as eq(1) so putting value of a in eq(1): 3(b+4)-3b+3 then 3b-3b+12+3 =15

a=b+4 a-b=4 3a-3b+3 =3(a-b)+3 =3*4+3 =12+3 =15

Divya Shankhala - 7 years, 7 months ago

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