Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct

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