Question

plz ans...............

Answer 1

SOLUTION........

Let, the larger no. be x and smaller no. be y.
According to the question,
${x}^{2} - {y}^{2} = 180...........eq(1.)$
and,
${y}^{2} = 8x...........eq.(2)$
From eq (1.) and eq.(2)
we get,
${x}^{2} - 8x = 180$
${x}^{2} - 8x - 180 = 0$
${x}^{2} - 18x + 10x - 180 = 0$
x (x-18) + 10 (x-18) = 0
(x-18) (x+10) = 0
So, x = 18 or x = -10(not valid)
Therefore, x = 18
put value of x in eq.2
we get,
y = 12.

Hence, the larger no. is 18 and smaller no. is 12.

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