Question

the difference of the squares of two positive integers is 180 .The square of the smaller number is 8 times the larger, find the numbers.​

Answer 1

let big one be a and smaller be b

a^2 - b^2 = 180

(a+b)(a-b) = 180. -(1)

given that 8a = b

so in place of b put 8a every where in 1st equation

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