present ages of a and b are jn ratio 2:3.Four years from now the ratio will be 6:7 find their present ages
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Step-by-step explanation:
A : B = 2 : 3
Let their ages be 2a and 3a.
So, A = 2a
B = 3a
After 4 years, their ages A = 2a + 4
B = 3a + 4
A.T.Q., A = 6
B = 7
So, 2a + 4 / 3a + 4 = 6 / 7
7 ( 2a + 4 ) = 6 ( 3a + 4 )
14a + 28 = 18a + 24
28 - 24 = 18a - 14a
4 = 4a
4 / 4 = a
1 = a
age of A = 2a = 2 × 1 = 2 years
age of B = 3a = 3 × 1 = 3 years
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