Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?

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01-06-2018
Mathematics

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Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?

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chrysanthemum chrysanthemum · Answer 1 · 2018-06-02T04:21:54+02:00

Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

3a - a = 18
2a = 18
a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

3a
3(9)
27

Answer:
Jim is 27 years old.