Answer :

Given

Sum of numbers = 45

Difference between the numbers = 19

Find

Larger number

Smaller number

Explanation

Let the smaller number be x

The the larger number will be (45 - x)

ATQ,

x = (45-x) - 19

x = 26-x

2x = 26

x = 13

Then the larger number = 45 - 13

= 32

Final Answer

Larger number = 32

Smaller number = 13