Irene R. answered 12/04/19
BS in Mechanical Engineering and Certified math teacher for 13 years
Let's let x represent the smaller number and y represent the larger number. Then since the sum of the two numbers is 131 , we can write the following equation:
x + y = 131
Then since the larger number (y) is 25 more than the smaller number (x), we can write that :e
x + 25 = y
If we substitute x + 25 for y in our first equation, we can find the value of x (or the smaller number):
x + y = 131
x + x + 25 = 131
Combine like terms and use inverse operations to find the value of x:
2x + 25 = 131
2x + 25 - 25 = 131 - 25
2x = 106
2x/2 = 106/2
x = 53
So the smaller number is 53. Since the sum of the two numbers is 131, the larger number (or y) will be 78.