type 2 age based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CGL Prelim 2002]

Four years ago, the ratio of the age of A and B was 2 : 3 and after four years it will become 5 : 7. Find their present age.

a) 40 years and 56 years

b) 36 years and 52 years

c) 32 years and 48 years

d) 36 years and 40 years

Answer: (b)

Four years ago let the age of A and B be 2x and 3x years respectively.

According to the question

${2x + 4 + 4}/{3x + 4 + 4} = 5/7$

${2x + 8}/{3x + 8} = 5/7$

14x + 56 = 15x + 40

x = 16

Present age of A

= 2x + 4 = 2 × 16 + 4 = 36 years

Present age of B

= 3x + 4

= 3 × 16 + 4 = 52 years

Question : 22 [SSC CGL Prelim 2007]

The ratio of the present age of Rahul and Rashmi is 2 : 1. The ratio of their age after 30 years will be 7 : 6. What is the present age of Rahul ?

a) 12 years

b) 20 years

c) 10 years

d) 6 years

Answer: (a)

Let the present age of Rahul and Rashmi be 2x and x years respectively.

After 30 years,

${2x + 30}/{x +30} = 7/6$

12 x +180 = 7x + 210

12 x - 7x = 210 - 180

5 x = 30 ⇒ $x = 30/5 = 6$

Rahul’s present age

= 2x = 2×6 = 12 years

Question : 23 [SSC MTS 2013]

The present age of two persons are 36 and 50 years respectively. If after n years the ratio of their age will be 3 : 4, then the value of n is

a) 6

b) 3

c) 7

d) 4

Answer: (a)

${36 + n}/{50 + n} = 3/4$

144 + 4n = 150 + 3n

4n - 3n = 150 - 144

n = 6

Question : 24 [SSC CAPFs SI, CISF ASI 2015]

The ratio of the ages of A and B at present is 3:1. Four years earlier the ratio was 4:1. The present age of A is

a) 36 years

b) 32 years

c) 40 years

d) 48 years

Answer: (a)

A’s present age = 3x years

B’s present age = x years

4 years ago,

${3x - 4}/{x -4} = 4/1$

4x - 16 = 3x - 4

4x - 3x = 16 - 4

x = 12

A’s present age

= 3x = 3 × 12 = 36 years

Question : 25 [SSC CGL Tier-I E2015]

Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A ?

a) 50 years

b) 40 years

c) 70 years

d) 60 years

Answer: (a)

18 years ago,

A’s age = 8x years

B’s age = 13x years

At present,

${8x + 18}/{13x + 18} =5/7$

56x + 126 = 65x + 90

65x - 56x = 126 - 90

9x = 36

$x = 36/9$ = 4

A’s present age

= 8x + 18

= 8 × 4 + 18 = 50 years

IMPORTANT quantitative aptitude EXERCISES

type 2 age based ratio & proportion problems Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »