Question

The sum of two numbers is 79 and their difference is 23. Find the two numbers by solving an appropriate system of equations

Answer 1

Given :

• The sum of two numbers =79

• The difference of two numbers =23

To find :

•The value of x and y=?

Solution :

Let x and y be the two numbers :

According to given conditions :

$\red \bigstar\bf \: x + y = 79 \: \: \: ....(1) \\ \\ \red \bigstar\bf \: x - y = 23 \: \: ....(2)$

Solving both equations (1) and (2)

$\implies \bf \: 2x = 79 + 23 \\ \\ \implies \bf \: 2x = 100 \\ \\ \implies \bf \boxed{ \bf{x = 50}}$

The value of x is 50

For finding y values put x =50 in equation (1)

$\implies \bf \: x + y = 79 \\ \\ \implies \bf \: 50 + y = 79 \\ \\ \implies \bf \: y = 79 - 50 \\ \\ \implies \boxed{ \bf{y = 29}}$

The value of y is 29

Therefore, The two numbers are x=50 and y=29