NIFT UG 2017 Question Paper with solutions

Question : 72 of 150

Marks: +1, -0

The sum of two numbers is 85 and their difference is 9. What is the difference of their squares?

Solution:

x+y=85

...(i)

x–y=9

...(ii)
Solving (i) and (ii), then we get,

x=47

and

y=38

(47)^{2}-(38)^{2}=(47+38)(47-38)

=85×9=765

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