Question

The sum of 2 numbers is 95, If one exceeds the other by 15,find the numbers. ​

Answer 1

Hello dear!❤️

Solution:

Let one number be x

Other number = x+15

A/Q

$x + x + 15 = 95$

$x + x = 95 - 15$

$2x = 80$

$x = \frac{80}{2} = 40$

One number = 40

Other number = 40+15 = 55

Hope this helps

@adiba31☺️❤️

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The two numbers are 40 and 55.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Sum of the numbers = 95

One exceeds the another by = 15

To find :

The Numbers

Solution :

Consider one number as x

Second Number = x + 15

★ $\boxed{\sf{(x+15)+x=95}}$

$\sf{\implies}\: (x + 15) + x = 95$

$\sf{\implies}\: x + 15 + x = 95$

$\sf{\implies}\: 2x + 15 = 95$

$\sf{\implies}\: 2x = 95 - 15$

$\sf{\implies}\: 2x = 80$

$\sf{\implies}\: x = \dfrac{80}{2}$

$\sf{\implies}\: x = 40$

$\rule{300}{1.5}$

★ Value of x + 15

$\sf{\implies}\: 40 + 15$

$\sf{\implies}\: 55$

$\therefore$ The two numbers are 40 and 55.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies}\: (40 + 15) + 40 = 95$

$\sf{\implies}\: 55 + 40 = 95$

$\sf{\implies}\: 95 = 95$

$\therefore$ The two numbers are 40 and 55.