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Question
Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
Solution
Let one number be x. Therefore, the other number will be x + 15.
According to the question,
x + x + 15 = 95
2x + 15 = 95
On transposing 15 to R.H.S, we obtain
2x = 95 − 15
2x = 80
On dividing both sides by 2, we obtain
`(2x)/2 = 80/2`
x = 40
x + 15 = 40 + 15 = 55
Hence, the numbers are 40 and 55
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