Question

Use the three steps to solve the problem. Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age. How old is each now? {James is yrs., Joe is yrs.}

Answer 1

Joe is 22 James is 12

Explanation:

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Answer 2

x = Joe's age and y = James's age
Joe is 10 years older than James - equation - x = y + 10
In 8 years twice Joe's age will equal three times James's age - equation -
2(x+8) = 3(y+8)

2(x+8) = 3(y+8)
2(y + 10 +8) = 3(y+8) { substitute y + 10 for x
2(y + 18) = 3(y + 8)
2y + 36 = 3y + 24
12 = y

Joe is 22 and James is 12.