## Lakshya Education MCQs

Question:

One year ago the ratio between Samir and Ashok’s age was 4:3. One year hence the ratio of their ages will be 5:4. What is the sum of their present ages in years?

Options:
 A. 15 B. 16 C. 17 D. 18 E. None of these
-  Let one year ago

Samir’s age be 4X years

And, Ashok’s age be 3X years

Present age of Samir = (4X + 1) years

Present age of Ashok = (3X + 1) years

One year hence

Samir’s age = (4X + 2) years

Ashok’s age = (3X + 1) years

According to question,
4X + 2 = 5   16 + 8 = 15X + 10   3X + 2 4
or,       X = 2

Sum of their present ages = 4X + 1 + 3X + 1

= 7X + 2

= 7 x 2 + 2 = 16 years.

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## More Questions on This Topic :

Question 1.

The ratio of the ages of Swati and Varun is 2 : 5, After 8 years, their ages will be in the ratio of 1 : 2. The difference in their present ages (in years) is?

Options:
1.    8
2.    16
3.    40
4.    24
5.    None of these
-  Let Swati’s age = 2X and Varun’s age = 5X
2X + 8 = 1       2 (2X + 8) = 5X + 8 5X + 8 2
X = 8

Swati's age = 16 years

and Varun's age = 40 years

Difference of their ages = 24 years.
Question 2.

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

Options:
1.    1.5
2.    2
3.    2.5
4.    3
5.    None of these
-  Let Ronit’s present age be X years. Then, father’s present age = (X + 3X) years = 4X years.
(4X + 8) = 5 (X + 8)   8X + 16 = 5X + 40   3X = 24     X = 8 2 Hence, required ratio = (4X + 16) = 48 = 2   (X + 16)
Question 3.

The ratio of the ages of mother to that of daughter is 7:3 today. After 5 years, this ratio would be 2:1. How many years old should the mother be at the time of birth of her daughter?

Options:
1.    15
2.    20
3.    30
4.    35
5.    None of these
-  Let the ages of mother and daughter today be “7X” and “3X” years respectively.

Thus, 5 years, hence, we get,
7X + 5 = 2 3X + 5 1   X = 5
Thus, the age of mother today is 35 years and that of daughter’s today is 15 years, Hence, at the time

of birth of her daughter, mother should have been (35-15) = 20 years old.
Question 4.

A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son’s age five years back was:

Options:
1.    14
2.    19
3.    38
4.    40
5.    None of these
-  Let son’s present age be X years. Then, (38 – X) = X

2X = 38

X = 19

Son's age 5 years back = (19 - 5) years = 14 years
Question 5.

Ratio of Ashok's age to pradeep's age is 4:3. Ashok willl be 26 years old after 6 years. How old is Pradeep now?

Options:
1.    15
2.    18
3.    20
4.    25
5.    None of these
-  Let the present ages of Ashok and Pradeep be 4X and 3X

So that 4X + 6 = 26

X = 5

Present age of Pradeep is 3X = 3 x 5, i.e. 15 years
Question 6.

The ages of Ram and Mukta are in the ratio of 3 : 5. After 9 years, the ratio of their ages will become 3 : 4. The present age of Muka (in years) is:

Options:
1.    15
2.    20
3.    25
4.    30
5.    None of these