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 = Sara’s age now 2x = James’ age now {James is twice as old as his sister Sara} 10x = James’ dad’s age now {James’ dad is 5 times older than James} Ages in 2 years x + 2 = Sara in two years {added 2 onto current age} 2x + 2 = James in two years {added 2 onto current age} 10x + 2 = James’ dad in two years {added 2 onto current age} x + 2 + 2x + 2 + 10x + 2 = 58 {in two years, the sum of their ages will be 558} 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 is 8 now. Ask Algebra House
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