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Sony is one-fifth the age of her mother 15 years ago and Sonys brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brothers ages is 31 then how old is Sony's mother ?

Sony is one-fifth the age of her mother 15 years ago and Sonys brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brothers ages is 31 then how old is Sony's mother ? Correct Answer 50

Sony and her brother's age sum is 31Let Sony's mother's age be 'x'.Now the conditions given for both of their ages related to their mom is1/5(x-15) + 3/5(x-10) = 31x-15 + 3x-30 = 1554x-45 = 1554x = 200x = 50So, Mother's age = 50.

Cross verification : 15 years ago age = 35 => Sony age = 710 years ago age = 40 => bro age = 24

Sum = 24 + 7 = 31.

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