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04-09-2017
Mathematics

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Jake is 10 years older than John. 5 years from now, Jake will be twice as old as John. How old is Jake?

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kphung76127 kphung76127

04-09-2017

Jake will be represented by variable a.
John will be represented by variable o.

a=o+10
a+5= 2(o+5)

For the second equations, write a literal equation to solve for a.
a+5=2o+10
a=2o+5

Since we have two expressions that equal a, we can tell that the two expressions are equal.
o+10= 2o+5
10=o+5
5=o

We now have the age of John. Plug his age in to find Jake's age.
a=5+10
a=15

Final answer: Jake is 15

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