Question

The difference of square of two numbers is 180. The square of the smaller number
is 8 times the larger number. Find the numbers.
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Answer 1

x^2 - y^2 = 180 ___ [1 equation]

x is larger number

y is smaller number

given

8(y^2) =x^2

Substituting above in firat equation,

8(y^2) - y^2 = 180

7(y^2) = 180

y^2 = 180/7

y^2 = 25.714

y = square root of 25.714

y  ≈ 5.0709