Translate into a variable expression.
The sum of two numbers is thirty-one. Using s to represent the smaller number, translate “five more than the larger number” into a variable expression.
2 answers
s + s + 5 = 31
S = smaller number
L = larger number
Smaller number, can't be five more than the larger number.
Larger number, can be five more than the smaller number.
So if the LARGER number five more than the SMALLER number then:
L = 5 + S
L + S = 31
5 + S + S = 31
5 + 2 S = 31
Subtract 5 to both sides
5 + 2 S - 5 = 31 - 5
2 S = 26
Divide both sides by 2
S = 26 / 2 = 13
L = 5 + S
L = 5 +13 = 18
Smaller number = 13
Larger number = 18
L = larger number
Smaller number, can't be five more than the larger number.
Larger number, can be five more than the smaller number.
So if the LARGER number five more than the SMALLER number then:
L = 5 + S
L + S = 31
5 + S + S = 31
5 + 2 S = 31
Subtract 5 to both sides
5 + 2 S - 5 = 31 - 5
2 S = 26
Divide both sides by 2
S = 26 / 2 = 13
L = 5 + S
L = 5 +13 = 18
Smaller number = 13
Larger number = 18
3 answers