Sonu is 22 years older to Asha. After twenty years, he will be twice her age. What are their present ages.

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Solution

$D e a r S t u d e n t L e t S o n u' s A g e = X y e a r s A s h a' s A g e = Y y e a r s N o w, a s p e r g i v e n c o n d i t i o n X = 22 + Y . . . . (i) a n d X + 20 = 2 (Y + 20) . . . . (i i) S u b s t i t u t i o n v a l u e o f X i n e q u a t i o n (i i) (22 + Y) + 20 = 2 (Y + 20) = > 42 + Y = 2 Y + 40 = > 2 Y - Y = 42 - 40 = > Y = 2 T h e r e f o r e, A s h a' s A g e = 2 y e a r s S o n u' s A g e = 22 + Y = 22 + 2 = 24 y e a r s R e g a r d s$

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