13 yearsyA S 21 nce of their 2 ag 2b 2 The a) 10 years S-31 Mrs. Nisha is four times as old as her'son If the ifference ofither aB find the age of the son. sh 12 years
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SOLUTION
Correct option is A)
Let nisha's present age be x,
Asha's present age =x
2
+2
When Nisha turns her mother's age, x
2
+2−x years have passed. Asha's age =10x−1
⇒x
2
+2−x = 10x−1−[x
2
+2]
⇒2x
2
−11x+5=0
⇒(x−5)∗(2x+1)=0
⇒(x−5)=0 or (2x+1)=0
⇒x=5 or x=
2
−1
Since age can not be negative,
x=5 is the right answer.
Nisha's age is 5, Asha's age is 27
Sum of their present ages =5+27=32
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