SOLUTION: the ratio of james's age and bob's age is 10:9. The ratio of sarah's age and bob's age is 29:27. how old is bob. (bob is between 40 and 70 years old

Question 1191235: the ratio of james's age and bob's age is 10:9. The ratio of sarah's age and bob's age is 29:27. how old is bob. (bob is between 40 and 70 years old
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the ratio of james's age and bob's age is 10:9.
let x = the multiplier
then
10x = j's age
and
9x = b's age
The ratio of sarah's age and bob's age is 29:27.
let y = the multiplier
then
29y = s's age
and
27y = b's age
how old is bob. (bob is between 40 and 70 years old
27y = 9x
3y = x
In order for Sarah's age to be reasonable, y has to equal 1 or 2
if y=1, x=3, Bob is 27, not between 40 and 70
if y=2, x=6, Bob is 54

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

J:B = 10:9

S:B = 29:27

Rewrite one or both ratios as equivalent ratios with the same denominator.

J:B = 30:27
S:B = 29:27

The problem asks for Bob's age; these ratios tell us his age is a multiple of 27.

So his possible ages are 27, 54, 81, ...

The problem says he is between 40 and 70, so

ANSWER: Bob is 54 years old

Note the above is more work than you need to do. The given ratio S:B=29:27 immediately tells us Bob's age is a multiple of 27....

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