Question

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

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Answer 1

Let us consider the two numbers as x and y.

y = x + 15

x + y = 95

x + x + 25 = 95

2x + 25 = 95

2x = 95 - 25

2x = 70

x = 70/2 = 35

y = 35 + 15 = 50

x = 35

y = 50

hope it helps

Answer 2

Given:

• Sum of two numbers = 95
• Let sum of one number be x
• The other number = x + 15

To Find:

Find the other number if one exceeds the other by 15.

Solution:

Consider one of the number to be x

Then,

The other number = x + 15

According to the given information,

$x+x+ 15 = 95\\\implies 2x + 15 = 95\\\implies 2x=95-15\\\implies 2x = 80\\\implies \frac{80}{2} \\:\implies \boxed{x=40}$

Therefore,

First number = x = 40

Then, the other number is,

$x+15=40+15\\:\implies \boxed{55}$

Hence, the first number is 40 and the other number is 55.