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Applications (Word Problem)

Two years ago...

Question

Two years ago, Ram was thrice as old as his daughter and six years later he will be four years older than twice her ago how old are they now?

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Solution

$l e t c u r r e n t a g e o f R a m a n d d a u g h t e r b e x a n d y r e s p e c t i v e l y . (x - 2) = 3 (y - 2) o r x - 2 = 3 y - 6 o r x = 3 y - 4 \to (1) a n d x + 6 = 2 (y + 6) + 4 o r x = 2 y + 16 - 63 o r 3 y - 4 = 2 y + 10 ∴ y = 14 y e a r s t h e n x = 3 (14) - 4 = 38 y e a r s$

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