Q12 of 87 Page 53

The difference between squares of two numbers is 120. The square of smaller number is twice the greater number. Find the numbers.

Let the two numbers be a and b, such that, .

As per the given conditions,


The difference of the square of the two numbers is 120.



The square of smaller number is 2 times the larger number.



Put the value of from eq. II in Eq. I, it gives




⇒


⇒


⇒






12 and or 12 and -


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