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Sum of Coefficients of All Terms

If a2-b2=13...

Question

If $a^{2} - b^{2} = 13$ where a and b are natural numbers then value of a is

A

6

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B

7

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C

8

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D

9

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Solution

The correct option is C $7$
$a^{2} - b^{2} = 13$
$(a - b) (a + b) = 1 \times 13$
By comparing, $a - b = 1, a + b = 13$
Add both the equations,
$2 a = 14$
$a = 7$

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