James’ dad is 5 times older than James, and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now?
Ages now
x = James’ sister’s age now 2x = James’ age now {James is twice as old as his sister} 10x = James’ dad’s age now {James’s dad is 5 times older than James} Ages in 2 years x + 2 = James’ sister’s age in 2 years {added 2 onto sister’s current age} 2x + 2 = James’ age in 2 years {added 2 onto James’ current age} 10x + 2 = James’ dad’s age in 2 years {added 2 onto James’ dad’s current age} x + 2 + 2x + 2 + 10x + 2 = 58 {in 2 years, the sum of their ages will be 58} 13x + 6 = 58 {combined like terms} 13x = 52 {subtracted 6 from each side} x = 4 {divided each side by 13} 2x = 8 {substituted 4, in for x, into 2x} James (represented by 2x) is 8 right now Ask Algebra House
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