Two Balls !

Algebra Level 1

Given that the mass of ball A is four times the mass of ball B. The product of the mass of the two balls is 256(kg^2). Find the total mass of two balls.

P/S : it is kg square = kg to the power of 2

For example : 5kg x 6kg = 30(kg^2)

Sorry for the confusing mistake.


The answer is 40.

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4 solutions

Perry Si
Apr 2, 2014

Solution is 40.

Let a = 4b and ab = 256 Substitute a with 4b which is 4b(b) = 256 4b^2 = 256 b^2 = 256/4 = 64 b = √64 = 8 When b =8 , a =4(8) = 32 Therefore 32 + 8 = 40

In the statement of the problem it is given that product of masses of two balls is 256^2. then mass of one ball is be 128 kg and not 8 k g. Clarify, please/

Om Parkash Khurana - 7 years, 2 months ago

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Mr. Khurana> Sir, I also made the same mistake it is actually 256 (kg^2)....

Girish Shahapurkar - 7 years, 2 months ago

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Dear Girish, that is what I am trying to say Because 32kg X 8kg = 256(kg^2)

Perry Si - 7 years, 2 months ago

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@Perry Si U better keep ur mouth shut.

Ashtik Mahapatra - 7 years, 2 months ago

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@Ashtik Mahapatra

U better keep ur mouth shut.

One doesn't need to open their mouth to type.

A Former Brilliant Member - 7 years, 2 months ago

@Perry Si Next time u post a question, my sincere request please make it clear so that others are not affected. I dropped from level 4 to 3 for this question.

Ashtik Mahapatra - 7 years, 2 months ago

Clarification:

Ball A : 32kg

Ball B : 8kg

Therefore product = 32kg x 8kg = 256 (kg^2)

Total mass of two balls = 32 + 8

                                        = 40

Perry Si - 7 years, 2 months ago

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By the way in the question it seems as 256^2

Ashtik Mahapatra - 7 years, 2 months ago

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idk how to type it as kg square 2 ... sorry if u misunderstood it

Perry Si - 7 years, 2 months ago

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@Perry Si You could have written it as 256(kg^2)

Ashtik Mahapatra - 7 years, 2 months ago

@Perry Si What is over is over, but next time plz post a question properly.

Ashtik Mahapatra - 7 years, 2 months ago

we take brilliuant org team as excellent team which is responsible for not only guiding to all in upgradation of their knowledge but also set ban example of excellency. there is no scope of commiting silly mistakes. no one should mind my statement. for the betterment of all it must be taken with +ve attitude . in the for going problem writing like 256^2= 95636. NO ONE CAN DENY THIS AND IF THIS FACT IS ACCRPTED THEN TBE CORRECT ANSWER COME OUT AS 640 KG AND NOT 40 KG

op khurana - 7 years, 2 months ago

If it it kg^2 plz specify it clearly in a bracket. For these silly mistakes our ratings are dropping drastically.

Ashtik Mahapatra - 7 years, 2 months ago

i too thought its 256*256

shilpa kumari - 7 years, 2 months ago

40

Maya Patil - 7 years, 2 months ago

Update : I have correct my question already it is 256(kg^2)

Perry Si - 7 years, 2 months ago

m1=4m m1 m = 256 4m m=256 4m(sq) = 256 m(sq)=256/4 m(sq)=64 m = 8 m1 = 4m m1 = 4(8) m1=32

Mohammad Ahmed - 7 years ago

the product of ball-a and ball-b 256 and not 256^2 as a is four times b so 4+1=5 and 40/5 =8......8x4=32 and 32x8=256 not 256^2 so please correct your question

Burhanuddin Siddiqi - 7 years, 2 months ago
Mohammad Ahmed
May 19, 2014

m1=4m m1(m) = 256 4m(m)=256 4m^{2} = 256 m^{2}=256/4 m^{2}=64 m = 8 m1 = 4m m1 = 4(8) m1=32 m1+m = 32+8 m1+m = 40

Vishnudatt Gupta
May 13, 2014

let mass of ball a=x

then mass of ball b=4x

so 4x*x=256

x=4

4x=32

so sum is 32+8=40

Hello,

mass of A = 4m , mass of B = m,

4m(m) = 256

m^(2) = 256/4

m = 8

Therefore, B = 8kg , A= 4(8) = 32kg,

A+B = 32+8 = 40kg...

thanks...

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