The ratio of ages of Meena and her mother is 3: 8. The difference in their age is 35 years

The ratio of ages of Meena and her mother is 3: 8. The difference in their age is 35 years. The ratio of their age after four years will be-
(a) 5: 12
(b) 24: 35
(c) 3: 12
(d) None

Anurag Mishra Professor Asked on 8th March 2016 in Maths.
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1 Answer(s)

Answer: (a) 5: 12

Solution:-
The ratio of ages of Meena and her mother = 3: 8
Let the age of Meena and her mother be 3 X & 8 X

The difference of their ages is 35 years. 
Then, 8 X – 3 X = 35 
5 X = 35
X = 35/5
X = 7 

Then, the age of Meena and her mother are 3 X = 3 x 7 = 21 years & 8 X = 8 x 7 = 56 years. 

So, the ration of their ages after four years = (21 + 4)/(56 + 4)
 = 25/60
 = 5: 12

Hence, the correct answer is option (a) 5: 12. 

Anurag Mishra Professor Answered on 8th March 2016.
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