Question

The sum of squares of two positive integers is 208. If the square of larger number is 18 times the smaller number , find the number .

Give full solution !!.

Answer 1

Heya.....!!!


Let the smaller number be x

, then the square of larger number will be 18x


Therefore = x^2+18x= 208

x^2+18x-208=0

(x-8)(x+26) = 0

so ,,, x = 8 and x = -26


since we will not take -26
We will take = x = 8 .

Therefore square of larger number = 18×8 = 144

Larger number = √144 = 12 .


Larger number = 12 and Smaller number = 8.


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