The difference between two numbers is 44. Five times the smaller is equal to 8 more than the larger. What are the numbers

2 answers

L = larger numbr

S = smaller number

The difference between two numbers is 44 mean:

L - S = 44

Five times the smaller is equal to 8 more than the larger mean:

5 S = L + 8

Now youust solve sytem of two equation with two unknow.

L - S = 44

5 S = L + 8

L - S = 44 Add S to both sides

L - S + S = 44 + S

L = 44 + S

5 S = L + 8

5 S = 44 + S + 8

5 S = 52 + S Subtract S to both sides

5 S - S = 52 + S - S

4 S = 52 Divide both sides by 4

S = 52 / 4 = 13

L = 44 + S = 44 + 13 = 57
let the smaller be x
let the larger be 44+x

translate:
"Five times the smaller is equal to 8 more than the larger"
----> 5x = 44+x + 8
4x = 52
x = 52/4 = 13

smaller is 13 , larger is 57

check
57-13 = 44 , check!!
5 times the smaller is 65
is 65 greater than 57 by 8 ?? , YES