Kavya's mother is 3 and half times as old as Kavya. after 2 years Kavya's Mother will be three times as old as she will be then, find their present ages
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Answer:
Let Kavya's present age be x years
Therefore,
Kavya's mother present age
= (3 whole 1/2 × x) years
= 7/2 × x years
= 7x/2 years
A.T.Q,
7x/2 + 2 = 3 (x+2)
or, (7x×1 + 2×2) / 2 = 3×x + 3×2
or, (7x + 4) / 2 = 3x + 6
or, 7x + 4 = 2 (3x + 6)
or, 7x + 4 = 2×3x + 2×6
or, 7x + 4 = 6x + 12
or, 7x - 6x = 12 - 4
or, x = 8
Answer :- Kavya's present age = x = 8 years
kavya's mother present age = 7x/2 years
= 7×8/2 years
= 7 × 4 years
= 28 years
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