TANCET MCA Age Previous Year Questions (PYQs)
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Current age of Ritu and Rinki is in the
ratio 3:4. 6 years back, the ratio of their
ages was 2:3. What is the present age of
Ritu?
1
2
3
4
Solution
Let their present ages be 3x and 4x.
Six years ago, their ages were (3x - 6) and (4x - 6).
So, according to the question:
Cross multiplying,
Simplifying,
Therefore, Ritu’s present age = 3x = 18 years.
Answer: 18 years
Six years ago, their ages were (3x - 6) and (4x - 6).
So, according to the question:
(3x - 6) / (4x - 6) = 2 / 3
Cross multiplying,
3(3x - 6) = 2(4x - 6)
Simplifying,
9x - 18 = 8x - 12
x = 6
Therefore, Ritu’s present age = 3x = 18 years.
Answer: 18 years
The sum of the ages of a son and father is
56 years; after four years the age of the
father will be three times that of the son.
What is the age of the father and the son,
respectively?
1
2
3
4
Solution
Let the present ages be s (son) and f (father).
Given: s + f = 56 … (1)
After 4 years: (f + 4) = 3(s + 4) ⇒ f = 3s + 8 … (2)
Substitute (2) in (1):
s + (3s + 8) = 56 ⇒ 4s = 48 ⇒ s = 12.
Then f = 56 − 12 = 44.
Answer (father, son): 44 years, 12 years
Given: s + f = 56 … (1)
After 4 years: (f + 4) = 3(s + 4) ⇒ f = 3s + 8 … (2)
Substitute (2) in (1):
s + (3s + 8) = 56 ⇒ 4s = 48 ⇒ s = 12.
Then f = 56 − 12 = 44.
Answer (father, son): 44 years, 12 years
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