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September 30, 2014

September 30, 2014

Posted by **John** on Sunday, July 14, 2013 at 10:42am.

2. Joel is one third the age of Bob. In 7 years the combined ages of the boys will be 58. How old is each boy now?

3. Tom is three times as old as Leigh Ann. In 7 years, the sum of half of Tom's present age and a third of Leigh Ann's age will be the same as Tom's age now. How old will Tom be in 7 years?

- math -
**mahesh**, Monday, July 15, 2013 at 5:29amLet it be x yrs ago, when Lisa was 15-x and her father was 40-x. Then-

40-x=6(15-x) or 40-x=90-6x

Or 6x-x=90-40 or 5x=50 thus x=5.

Let Bob be x yrs and Joel be 3x. Then (x+7)+(3x+7)=58 or 4x+14=85

Or 4x=44 hence x=11. Thus Bob is 11 and Joel is 33. After 7 yrs Bob willbe 18 and Joel will be 40. 18+40=58 OK.

Let Leigh be x and Tom be 3x at present. After 7 yrs, Leigh will be x+7 and Tom will be 3x+7. Then,

(x+7)/2 + (3x+7)/3=3x

Or 2x+14+9x+21=3x

Or, 7x=21+14=35 or x=5. Tom is 15.

Check: After 7 yrs Leigh will be 12 and Tom will be 22.

12/3 + 22/2=4+11=15. OK.

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