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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

the ages of J...

Question

the ages of Jayesh and Jasmine are in the ratio 7 : 9. Four years from now the ratio of their ages will be 4 : 5 find their present ages.

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Solution

Dear Student,

$L e t t h e a g e o f J a y e s h a n d J a s m i n e b e 7 x a n d 9 x r e s p e c t i v e l y . T h e n a f t e r 4 y e a r s t h e i r a g e w i l l b e (7 x + 4) a n d (9 x + 4) r e s p e c t i v e l y . A c c o r d i n g t o q u e s t i o n, \frac{7 x + 4}{9 x + 4} = \frac{4}{5} 35 x + 20 = 36 x + 16 x = 4 H e n c e, a g e o f J a y e s h i s 28 y e a r s a n d a g e o f J a s m i n e i s 36 y e a r s$

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