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CBSE Class 10 Answered

Find the number of pairs of natura l numbers are there the difference of whose squares is 45
Asked by acv27joy | 10 Dec, 2018, 01:18: PM
answered-by-expert Expert Answer
Let x and y be the numbers.
x2 - y2 = 45
(x + y)(x - y) = 3 × 3 × 5
Consider,
x + y = 3 and x - y = 15
Solving these equations we get x = 9 and y = 6
Also,
x + y = 9 and x - y = 5 
Solving these equations we get x = 7 and y = 2
 
Also, if you observe 23 and 22 also satisfies the given condition.
Answered by Sneha shidid | 10 Dec, 2018, 03:53: PM

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