# Problem Solving/Word Problem Jame's 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?

2
by mayethskie

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2015-09-04T14:13:04+08:00

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Present ages:
Let Sara's age: x
James' age:  2x
Dad's age: 5(2x) or 10x

In two years (future):
Sara's age:  x + 2
James' age: 2x + 2
Dad' age:  10x + 2
Sum of their ages in two years: 58

Equation:

(x+2) + (2x+2) + (10x + 2) = 58
x+2x+10x + 2+2+2 = 58
13x + 6 = 58
13x = 58-6
13x = 52
13     13

x = 4

Present Ages:
Sara: x = 4 years old
James:  2x = 2(4) = 8 years old
Dad: 5 (2x) = 5 (8) = 40 years old

How old is James now? 8 years old.
2015-09-04T15:09:10+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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?

Representation: Let x = Sara's age
2x = James' age
10x = Their dad's age

Now                             In two years
Sara                   x                                     x + 2
James                 2x                                   2x + 2
Dad                  10x                                 10x + 2

Equation: (x + 2) + (2x + 2) + (10x + 2) = 58

Solution: (x + 2) + (2x + 2) + (10x + 2) = 58
x + 2 + 2x + 2 + 10x + 2 = 58
13x + 6 = 58
13x = 52
-----   -----
⇒  x = 4; 2x = 8; 10x = 40
13    13

Answer: James is 8 years old.

Check: (x + 2) + (2x + 2) + (10x + 2) = 58
(4 + 2) + [2(4) + 2) + [10(4) + 2) = 58
6 + (8 + 2) + (40 + 2) = 58
6 + 10 + 42 = 58
58 = 58

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