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CBSE Class 10 Answered

A man says to his son, "seven years ago I was seven times as old as you were, and three years hence I shall be three times as old as you" Find their age.
Asked by Jainaditya466 | 21 May, 2019, 05:37: PM
answered-by-expert Expert Answer
L e t space x space a n d space y space r e p r e s e n t s space t h e space a g e s space o f space t h e space f a t h e r space a n d space t h e space s o n space r e s p e c t i v e l y
A c c o r d i n g space t o space t h e space q u e s t i o n comma
x minus 7 equals 7 left parenthesis y minus 7 right parenthesis
a n d space x plus 3 equals 3 left parenthesis y plus 3 right parenthesis
rightwards double arrow x minus 7 y equals negative 42 space.... space left parenthesis i right parenthesis space space a n d space
x minus 3 y equals 6 space.... space left parenthesis i i right parenthesis
S o l v i n g space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t
x equals 42 space a n d space y equals 12
H e n c e comma space a g e s space o f space f a t h e r space a n d space s o n space a r e space 42 space a n d space 12 space r e s p e c t i v e l y.
Answered by Renu Varma | 21 May, 2019, 06:12: PM
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