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A mother is five times as …

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A mother is five times as old as her daughter. Five years later the mother will be three times as old as her daughter . Find The sum of their present ages in years .

Posted by Kalpesh Patidar 1 year ago

CBSE > Class 10 > Mathematics

1 answers

Sonam .... 1 year ago

Let daughters age =x And mother's age =y Now, According to 1st condition 5x =y , 5x - y =0 eq.1 According to 2nd condition 3(x+5) = ( y+5 ) 3x + 15 = y+5 3x -y= - 10 eq. 2 Multiply eq 1 with 3 and eq 2 with 5 By elimination method 15x-3y =0 15x-5y = - 50 By subtracting it becomes 2y = 50 y=25 And put value of y in eq 1 So,x = 5 Sum of their ages = 25+5 = 30

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