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Q.
Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ?
A.
40
B.
50
C.
60
D.
70
View Answer
Correct choice: B
Explanation:
Sony and her brother's age sum is 31 Let Sony's mother's age be 'x'. Now the conditions given for both of their ages related to their mom is 1/5(x-15) + 3/5(x-10) = 31 x-15 + 3x-30 = 155 4x-45 = 155 4x = 200 x = 50 So, Mother's age = 50. Cross verification : 15 years ago age = 35 => Sony age = 7 10 years ago age = 40 => bro age = 24 Sum = 24 + 7 = 31.
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