Question

The difference of square of two consecutive integers a and b ( b>a) is 25 . find a and b
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Answer 1

Given

b² - a² = 25

b = a+1 (as b>a and they are consecutive)

Thus we can interpret it as;

• (b+a)(b-a) = 25
• (a+1+a)(a+1-a) = 25
• (2a +1)(1) = 25
• 2a + 1 = 25
• 2a = 24
• a = 12

Substitute value of a in b;

• b = a + 1
• b = 12 + 1
• b = 13

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