Question

The difference between two numbers is 12 and the difference between their squares is 456 find the no

Answer 1

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Answer 2

Let the two numbers be x,y
x-y=12
x=12+y
x^2-y^2=456
put X value in the above equation
(12+y)^2-y^2=456
12^2+y^2+2(12)(y)-y^2=456
144+24y=456[y^2 gets cancelled]
24y=312
y=13
x=13+12=25

THEREFORE THE NUMBERS ARE 25,13

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