$x is divided among three boys, Ryan, Keith and Andrew, in the ratio 2 : 3 : 7, respectively. If Andrew gets $15 more than Keith, what is the value of x ?
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Answer:
Let Keith money be 3x/12
Andrew money = 15 + 3x/12
Since Andrew is 15 more than keith
Therefore;
15 + 3x/12 = 7x/12
Find the L.C.M
(180 + 3x)/12 = 7x/ 12
Multiply both sides by 12
180 + 3x = 7x
Collect like terms
180 = 7x - 3x
180 = 4x
Divide both side by 4
x = 45
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