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Answer :
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.