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

Let one number be x and the other be y.
As per given we have y = x + 15

Also we are given that x+y=95

\(\Rightarrow\)x + (x + 15) = 95 [Substituting the value of y]

\(\Rightarrow\) x + x + 15 = 95

\(\Rightarrow\) 2x + 15 = 95

\(\Rightarrow\) 2x = 95 – 15 [transposing 15 from (+) to (-)]

\(\Rightarrow\) 2x = 80

\(\Rightarrow\) x =\(\frac { 80 }{ 2 }\quad\) [transposing 2 from (×) to (÷)]

\(\Rightarrow\) x = 40

∴Other number y= x + 15 = 40+15 = 55

Thus, the required numbers are 40 and 55.