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Question

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.


Solution

Let the larger numbers be x

Then according to question,

Square of the smaller number be then

Or

Since, x being a positive integer so, x cannot be negative,

Therefore,

When then smaller number be

Thus, two consecutive number be


Mathematics
RD Sharma (2014)
Standard X

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