The ratio of the present ages of A & B is 7:9 . Six years ago the ratio of 1/3 of A's age at that time and 1/3 of B's age at that time was 1:2 . What will be the ratio of A's to B's age 6 years from now ?
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Step-by-step explanation:
Let the age of A, 5 years ago be x
Then the age of B , 5 years ago will be 3x
According to question
(3x+5+6)/(x+5+12)=7/4(3x+5+6)/(x+5+12)=7/4
(3x+11)/(x+17)=7/4(3x+11)/(x+17)=7/4
12x+44=7x+11912x+44=7x+119
5x+119−445x+119-44
5x=755x=75
x=15x=15
A's present age =15+5=20
B's present age=3×15+5=45+5=50=3×15+5=45+5=50
Required ratio =(20−3):(50+3)=17:53
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