Ratio of ages of brother and sister is 4:5.
After 6 years the ratio of their ages will be 5:6. Find the present age of brother
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let the present age ratio of brother and sister be 4x and 5x
after 6 years
age of brother=4x+6
age of sister=5x+6
their ratio=5:6
4x+6/5x+6 = 5/6
(cross multiply)
6(4x+6) = 5(5x+6)
24x+36 = 25x+30
24x-25x=30-36
-x = -6
(minus sign cancels)
hence, x = 6
present age of brother= 24
present age of sister = 30
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