Question discussion

Two numbers differ by 5. If their product is 336, then the sum of the two numbers would be:

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Let the numbers are x and y. then,


⇒ x – y = 5 ------------ (1)


⇒ x × y = 336 ------------ (2)


Now, (x + y)2 = (x - y)2 + 4xy,


⇒ (x + y)2 = 25 + 4 × 336 = 1369,


⇒ x + y = √1369 = 37