# Problems on Ages Quiz Set 005

### Question 1

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.

### Question 2

Each year the ages of three friends are in an AP(arithmetic progression). The age of middle friend today is 37 years. What would be the sum of their ages 10 years from now?

A

141 years.

B

142 years.

C

140 years.

D

143 years.

Soln.
Ans: a

Let the present ages of the three friends be a - d, a and a + d. As of today a = 37. Ten years later their ages would be a + 10 - d, a + 10, a + 10 + d. Adding these we get 3a + 30 which equals 3 × 37 + 30 = 141 years.

### Question 3

P is 11 years older than Q, and Q's age is 3 times the age of R. If the sum of their ages today is 53, then what is the age of Q?

A

18 years.

B

19 years.

C

17 years.

D

20 years.

Soln.
Ans: a

Let the age of R be x. Then the age of Q is 3x, and that of P is 3x + 11. Adding the three ages, (3x + 11) + 3x + x = 53. Solving, we get x = 6. So the age of Q is 3x = 18 years.

### Question 4

The ratio of present ages of two monuments A and B is \$5{1/4}\$. If the difference of their ages is 136, then what is the age of B?

A

32 years.

B

28 years.

C

24 years.

D

36 years.

Soln.
Ans: a

The ratio of ages of A and B is given as \${21/4}\$, which is same as: \$5{1/4}\$. So we can write the present ages of A and B, respectively, as 21r and 4r years. The difference is \$21r - 4r = 136\$ which gives r = 8. The age of B, therefore, is 4r = 4 × 8 = 32 years.

### Question 5

The ratio of present ages of two monuments A and B is \$4{1/5}\$. After 4 years later the age of A will be 109 years. What is the present age of B?

A

25 years.

B

20 years.

C

15 years.

D

30 years.

Soln.
Ans: a

The ratio of ages of A and B is given as \${21/5}\$, which is same as: \$4{1/5}\$. So we can write the present ages of A and B, respectively, as 21r and 5r years. 4 years later the age of A is \$21r + 4 = 109\$ which gives r = 5. The age of B, therefore, is 5r = 5 × 5 = 25 years.