Answers

2014-09-22T19:05:55+08:00
My father is 13 years older than my brother, if my father is 42 years old, what is the age of my brother?
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2014-09-22T19:15:40+08:00
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Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93.
Find both of their ages now.

x = Dan's age now
x + 9 = Cary's age now {Cary is 9 yrs older than Dan}

x + 7 = Dan's age in 7 years
x + 16 = Cary's age in 7 years

x + 7 + x + 16 = 93 {in seven years the sum of their ages will be 93}
2x + 23 = 93 {combined like terms}
2x = 70 {subtracted 23 from both sides}
x = 35 {divided both sides by 35}
x + 9 = 44 {substituted 35, in for x, into x + 9}

Dan is 35
Cary is 44

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