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?
Age now
x = Jame's age now 5x = James' dad's age now {James' dad is 5 times older than James} x/2 = James' sister, Sara's age now {James is twice as old as his sister} Age in 2 years x + 2 = James in 2 years {added 2 onto current age} 5x + 2 = James' dad in 2 years {added 2 onto current age} x/2 + 2 = Sara's age now {added 2 onto current age} (x + 2) + (5x + 2) + (x/2 + 2) = 58 {added ages together, and set equal to 58} x + 2 + 5x + 2 + x/2 + 2 = 58 {removed parentheses} 6x + x/2 + 6 = 58 {combined x with 5x and added the 2's} 6x + x/2 = 52 {subtracted 6 from each side} 12x + x = 104 {multiplied entire equation by 2, to eliminate fraction} 13x = 104 {combined like terms} x = 8 {divided each side by 13} James is 8 now Ask Algebra House
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