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# Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

4. Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

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Assume one number to be x. Then the other number will be x + 15.

Now it is given that sum of the two numbers is 95.

Thus quation becomes x + x + 15 = 95

or         2x +15 = 95

Transposing 15 to the RHS, it becomes

2x = 95 - 15 = 80

Dividng both sides by 2, we get

$x = \frac{80}{2} = 40$

Thus two numbers are 40 and 55

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