# EX.2.2 Q4 Linear Equations in One Variable Solutions - NCERT Maths Class 8

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## Question

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

Video Solution
Linear Equations
Ex 2.2 | Question 4

## Text Solution

What is known?

(i) Some of two numbers is $$95$$.

(ii) One exceeds the other by $$15$$.

What is unknown?

Numbers

Reasoning:

Assume any one number to be a variable and form a linear equation by using the relationships between the two numbers mentioned in the problem statement.

Steps:

Let one of the number be $$x$$.

Then the other number➔ $$(95-{\rm{ }}x)$$ (as sum of them is $$95$$).

If we assume $$x$$ to be larger among two of them.

$$x - (95 - x) = 15$$ (as one exceeds other by $$15$$)

\begin{align}x - 95 + x &= 15\\2x &= 110\\x &= \frac{{110}}{2}\\x &= 55\end{align}

Then other number➔ $$95 - x = 95 - 55 = 40$$

The numbers are $$40$$ and $$55$$.

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