Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
40 and 55
Let one number is ‘a’.
Therefore, second number = a + 15
Given, their sum = 95
Therefore,
a + a + 15 = 95
⇒ 2a + 15 = 95
By subtracting 15 from both sides, we get
2a + 15 – 15 = 95 – 15
⇒ 2a = 95 – 15
⇒ 2a = 80
⇒ a = 40
Therefore the numbers are 40 and 55