Latest TCS Aptitude Question SOLUTION: Two numbers are in the ratio 3: 4. The difference between their squares is 28. Find the sum of the squares of these numbers?

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Two numbers are in the ratio 3: 4. The difference between their squares is 28. Find the sum of the squares of these numbers?

Asked In TCS prudhvi (10 years ago)

Unsolved Read Solution (15)

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kamalsomu  (10 years ago)

Ans : 100
Explanation: lets us take two number be x,y
then, x/y=3/4
x=3y/4 ---(1)
since the difference between their squares is 28,
y^2-x^2=28 ---(2)
substitute (1) in (2)
y^2-(3y/4)^2=28
y^2-(9y^2/16)=28
(16y^2-9y^2)/16=28
7y^2=28*16=448
y^2=448/7=64
y=8
substitute y in (2)
y^2-x^2=28
(8)^2-x^2=28
64-x^2=28
x^2=64-28
x^2=36
x=6
therefore sum of square of the two numbers 6^2+8^2=36+64=100.

Is this solution Helpfull? Yes (23) | No (2)  

manish karanje  (10 years ago)

x/y=3/4
y2-x2=28
sub x=3y/4
y=8
x=6
x2+y2=100

Is this solution Helpfull? Yes (8) | No (1)  

Tejasree  (10 years ago)

let 2 numbers be 3x,4x
diff of the squares of numbers are 16x^2-9x^2=28
x^2=4
sum of the square of yhe numbers are 16(4)+9(4)=100

Is this solution Helpfull? Yes (4) | No   

Y.Uma sankar  (10 years ago)

3x: 4x.. now take x as 2...
now both numbers are 6 and 8. differnce between squares of two numbers is 8^2 - 6^2 = 64 - 36 = 28..
So, the sum of these two numbers is 14..

Is this solution Helpfull? Yes (2) | No (3)  

ABHISHEK CHANDEL  (10 years ago)

given x/y=3/4 so x=3/4y,
now y^2-x^2=28
y^2-(3/4y)^2=28
y=8,
so x=8*3/4=6

Is this solution Helpfull? Yes (1) | No (1)  

abhishek  (10 years ago)

let no. are 3x and 4x
now (3x)^2 -(4x)^2=28
i.e. x=2
hence there sum of squre is 100

Is this solution Helpfull? Yes (1) | No   

rakesh sharma  (10 years ago)

let the number be x
then ratio will be 3x and 4x.
diff of their square 3x^2 -4x^2 =28

7x^2 =28
x=2
then nuber is 3*2=6 and 4*2=8
sum of thier square is 36+64 = 100 ans

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tauqueer ahmad ansari  (10 years ago)

100:
let no be 3x nd 4x
16x^2-9x^2=28
x^2=4
25x^2=100

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vulli tejaswi  (10 years ago)

answer is 100
3y=4x
so 16x^2-9y^2=0
and y^2-x^2=28
solving dese eq x=6
and y=8
so x^2+y^2=100

Is this solution Helpfull? Yes (1) | No   

prudhvi  (10 years ago)

options are given like this
a) 4,096
b) 390
c) 420
d) none

Is this solution Helpfull? Yes | No (1)  

harsha   (10 years ago)

two nos= 3x and 4x
14x-9x=7x=28
x=4, nos will be = 12 and 16
sum of nos.= 144+256=400

Is this solution Helpfull? Yes | No (4)  

sravani kollipara  (10 years ago)

ans: 400
ratio=3:4
so the numbers are 12,16
sum of squares of nums is:144+256=400

Is this solution Helpfull? Yes | No (4)  

HARSH  (10 years ago)

pls send me tcs apti papers 2013.......my id-rharsh170@gmail.com

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Sindhusha Thota  (10 years ago)

x/y=3/4,x2-y2=28,x2+y2=100

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Shounak Pal  (10 years ago)

400
None of the options are 400 so answer is d. None f these

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