# Problems on Ages Quiz Set 011

### Question 1

My present age is 1443 times the reciprocal of my age 2 years back. What is my present age?

A

39 years.

B

40 years.

C

38 years.

D

41 years.

Soln.
Ans: a

Let the present age be x. Then \$x = 1443/{x - 2}\$. At this stage a better option is that you try putting the given answers into this expression one by one. The other option is to simplify this expression into a quadratic equation \$x × (x - 2)\$ = 1443. This can now be solved to give x = 39 years.

### Question 2

My father was 20 years old when I was born. My mother's age was 19 when my sister, who is 5 years younger to me, was born. What is the difference between the ages of my parents?

A

6 years.

B

7 years.

C

5 years.

D

8 years.

Soln.
Ans: a

If the age of my father is F, then my age is F - 20, so my younger sister's age is (F - 20) - 5, which is = F - 25. If my mother's age is M, then M = (my sister's age) + 19, i.e., M = (F - 25) + 19. We get F - M = 6 years.

This question can be solved directly also. The age of my father at the time of birth of my sister was 20 + 5 = 25. At the time my mother was 19 years. So the difference between their ages = 25 - 19 = 6 years.

### Question 3

My present age is 1330 times the reciprocal of my age 3 years back. What is my present age?

A

38 years.

B

39 years.

C

37 years.

D

40 years.

Soln.
Ans: a

Let the present age be x. Then \$x = 1330/{x - 3}\$. At this stage a better option is that you try putting the given answers into this expression one by one. The other option is to simplify this expression into a quadratic equation \$x × (x - 3)\$ = 1330. This can now be solved to give x = 38 years.

### Question 4

Mr. X became a voter at the age of 18. He got married at the age of 20. What was his average age during these two points of his life?

A

19 years.

B

20 years.

C

18 years.

D

2 years.

Soln.
Ans: a

The average is simply \${18 + 20}/2\$ = 19 years.

### Question 5

5 years back the ratio of ages of X and Y was \$1{2/11}\$. The ratio of their ages 5 years from now would be \$1{1/8}\$. What is the present age of X?

A

31 years.

B

32 years.

C

30 years.

D

33 years.

Soln.
Ans: a

Let their present ages be x and y. Then \${x - 5}/{y - 5} = \$ \${13/11}\$, which is same as: \$1{2/11}\$. Similarly, \${x + 5}/{y + 5} = \$ \${9/8}\$, which is same as: \$1{1/8}\$. Solving these equations for x and y, we get y = 27, and x = 31 years as the answer.