Nigel's Math Homework

Algebra Level 1

Nigel is has been attempting to solve this problem for over an hour. Can you help him? Here is the question:

The following sequence of operations is done on a number. Multiply by 5, add 2, subtract 10, and multiply by 2. The final result is 44. What is the original number?


The answer is 6.

Z K by Z K , 21, USA

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18 solutions

Fares Salem
Jun 21, 2014

Take the no. 44 and make on it the operations we did on the original number but in an opposite way: 44 ÷ 2 = 22 22 + 10 = 32 32 - 2 = 30 30 ÷ 5 = 6

So the original no. is {6}

7 Helpful 0 Interesting 0 Brilliant 0 Confused
Vince Policarpio
Apr 12, 2014

2( 5x + 2 -10 ) = 44, then x = 6. (Q.E.D.)

5 Helpful 0 Interesting 0 Brilliant 0 Confused

very easy, 44/2=22, 22+10=32, 32-2=30, 30/5=6. Just reverse the sequence and use opposite signs and get the answer.

Yuvraj 007 - 7 years, 1 month ago

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yeah,, i also use the same method..

Karanvir Sandhu - 7 years, 1 month ago

Let the number is X,Sequence given gives equation (xX5 +2 -10)2 =44 therefore X =6 Ans K.K.GARG.India

Krishna Garg - 7 years, 1 month ago

  • Let the no. X:

  • X*5+2-10 * 2=44

    • *5X+2-10=22

    *5X-8=22

    *5X=30

    *X=6 (Req.) (Using (PUDMAS))

    Yomna Kilany - 7 years, 1 month ago
    Mohammad Khaza
    Dec 21, 2017

    let x be the original number. \text{let x be the original number.}

    now, \text{now,}

    2 ( 5 x + 2 − 10 ) = 44 2(5x+2-10)=44

    or, 10 x + 4 − 20 = 44 10x+4-20=44

    or, 10 x = 60 10x=60

    or, x = 6 x=6 ...........[the original number]

    3 Helpful 0 Interesting 0 Brilliant 0 Confused

    Wow. Nigel must be a really dumb kid.

    Krishna Karthik - 2 years, 2 months ago

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    yes.you are right

    Mohammad Khaza - 2 years, 2 months ago
    Doss Stone
    Jan 30, 2018

    Work the equation in the opposite direction with the opposite signs:

    44÷2=22

    22+10=32

    32-2=30

    30÷5=6

    So the final answer is ( 6 )

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Ayushi Singh
    Dec 24, 2017

    We have just to do its opposite 44/2=22,22+10=32,32-2=30,30/5=6 we have to just go in reverse direction and change the signs it add is given than subtract it and if multiply is given than divide it.

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Aaron Silvera
    Dec 22, 2017

    2(5x+2-10)=44 <=> 5x-8=22 <=> 5x=30 <=> x=6

    0 Helpful 0 Interesting 0 Brilliant 0 Confused

    ????????????

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Henry Lim
    Dec 22, 2017

    44/2+（10-2）/5

    0 Helpful 0 Interesting 0 Brilliant 0 Confused

    Let x x be the original number. Then we have

    ( 5 x + 2 − 10 ) ( 2 ) = 44 (5x+2-10)(2)=44

    Dividing both sides of the equation by 2 2 , we get

    5 x − 8 = 22 5x-8=22

    Add 8 8 to both sides of the equation to get

    5 x = 30 5x=30

    Finally, dividing both sides of the equation, we get

    x = 6 x=\boxed{6}

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Jaewon Choi
    Apr 28, 2016

    GO to this website https://scratch.mit.edu/projects/107127464/ this will help your algebra and it can impress your friends

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Elshaday Alemu
    Sep 2, 2015

    let the number be a, then (5a+2-10)*2=44 => 5a+2-10=22....dividing both sides by 2 implies 5a-8=22, 5a=30=>a=6 thus, the original number is 6.

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Dipak Prajapati
    Jun 22, 2015

    Same method will be applied. Easy one

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Noel Lo
    May 30, 2015

    Work backwards by executing the opposite operations:

    44/2 = 22.

    22+10 = 32.

    32 - 2 = 30.

    30/5 = 6.

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Mmk Majid khan
    May 2, 2015

    the easiest way to solve this kind of problems is to reverse the method first divide the 44 by 2 second add 10 to the answer(22) third subtract 2 from the answer (32) and in the last step just divide the answer(30) by 5 and you will get the required anwer which is 6

    0 Helpful 0 Interesting 0 Brilliant 0 Confused

    Taking the initial number as 44 repeat the commands with their opposite order i.e. 44 -> divide by 2 -> add 10-> subtract 2 -> divide by 5

    0 Helpful 0 Interesting 0 Brilliant 0 Confused

    2( 5x + 2 -10 ) = 44....for solving this we will get x =6

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Anik Mandal
    Apr 11, 2014

    According to the question, 2(5x+2-10)=44 2(5x-8)=44 10x-16=44 10x=60 x=6 Therefore the answer is 6

    0 Helpful 0 Interesting 0 Brilliant 0 Confused
    Z K
    Apr 10, 2014

    The answer is 6

    0 Helpful 0 Interesting 0 Brilliant 0 Confused

    Why?

    Calvin Lin Staff - 7 years, 2 months ago

    6

    Priyo Pribudi - 7 years, 2 months ago

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