Question

The difference between two numbers is 15 and the sum of the two numbers is 61. Find the number​

Answer 1

Answer:

y = 23

x = 38

Step-by-step explanation:

let the numbers be x and y

x - y = 15

x + y = 61

-2y = -46

y = 23

x = 38

Answer 2

Let the two number be larger x and smaller y

The sum of the two numbers is 61

x + y = 61….Eq..1

The difference of the two numbers is 15 .

x - y = 15

x = 15 + y…Eq..2

Substituting the value of x from Eq..2 to Eq. 1

x + y = 61

15 + y + y = 61

15 + 2y = 61

2y = 61 - 15

2y = 46

y = 46/2

y = 23

The smaller number is 23

Substituting the value of y in Eq…2 to derive value of x

x = 15 + y

x = 15 + 23

x = 38

The larger number is 38

Answer :the larger number is 38