SOLUTION: If the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their age becomes 7:8?

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Question 339115: If the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their age becomes 7:8?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=33
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A%2FB=5%2F6
6A=5B
A=%285%2F6%29B
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Substitute,
%285%2F6%29B%2BB=33
%2811%2F6%29B=33
B=33%286%2F11%29
highlight_green%28B=18%29
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A%2BB=18
highlight_green%28A=15%29
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In x years,
%28A%2Bx%29%2F%28B%2Bx%29=7%2F8
7%28B%2Bx%29=8%28A%2Bx%29
7B%2B7x=8A%2B8x
x=7B-8A
x=7%2818%29-8%2815%29
x=126-120
highlight%28x=6%29years
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In x=6 years,
A=21
B=24
A%2FB=21%2F24=7%2F8