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If the difference of two numbers is 3 and the difference of their squares is 39, then the larger number is
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- 8
- 9
- 12
- 13
Correct Option: A
Let the numbers be a and b,
where a > b
According to the question,
a – b = 3 ....(i)
a2 − b2 = 39
⇒ (a + b) (a – b) = 39
| ⇒ a + b = | = | = 13 | ||
| a − b | 3 |
⇒ a + b = 3 .....(ii)
Adding equations (i) and (ii)
2a = 16 ⇒ a = 8
