4 years ago,the ratio of the ages of A:B was 2:3 after 4 years it becomes 5:7 . Find their present ages.
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Step-by-step explanation:
let the age of A be '2x'
And let the age of B be '3x'
After 4 years = A age = 2x+4
; B age = 3x+4
A/q
2x+4/3x+4 = 5/7
2x+4 × 7 = 3x +4 × 5
2x+28 = 3x +20
3x-2x = 28 - 20
x = 8yrs
Therefore; present age of A = ( 2 × 8 + 4 ) yrs
= ( 16 + 4 ) yrs
= 20yrs
so, present age of B = ( 3 × 8 + 4 ) yrs
= ( 24 + 4 ) yrs
= 28 years
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