Question

Sum of two number is 95. If one exceeds the other by the 15, Find the numbers. 40,55 30,45 60,65 50,55​

Answer 1

Step-by-step explanation:

Let x be the number and,

Let x + 15 be the other number.

(x + 15) + x = 95(x+15)+x=95

\implies \: x + x + 15 = 95⟹x+x+15=95

\implies \: 2x + 15 = 95⟹2x+15=95

\implies \: 2x = 95 - 15⟹2x=95−15

\implies \: 2x = 80⟹2x=80

\implies \: x = \frac{80}{2}⟹x=

2

80

\implies \: 40⟹40

∴ x = 40

Finding the numbers :

x + 15 = 40 + 15 = 55

x = 40

Hence, the numbers are 55 and 40.

Answer 2

answer Let one of the numbers be= x.

Then, the other number becomes x + 15

According to the question,

x + x + 15 = 95

⇒ 2x + 15 = 95

⇒ 2x = 95 - 15

⇒ 2x = 80

\Rightarrow x=\frac{80}{2}⇒x=

2

80

⇒ x = 40

First number = x = 40

And, other number = x + 15 = 40 + 15 = 55