Q. 334.3( 10 Votes )

The difference of

Answer :

Let the numbers be ‘a’ and ‘b’.


Given, difference of squares of two numbers is 88.


a2 – b2 = 88


Also, the larger number is 5 less than twice the smaller number.


a = 2b – 5


Thus, (2b – 5)2 - b2 = 88


4b2 + 25 – 20b - b2 = 88


3b2 – 20b – 63 = 0


3b2 – 27b + 7b – 63 = 0


3b(b – 9) + 7(b – 9) = 0


(3b + 7)(b – 9) = 0


b = 9


Thus, a = 2 × 9 – 5 = 13


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