type 2 age based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - EXERCISES]
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
Question : 11 [SSC CGL Prelim 2008]
The present age of A and B are in the ratio 4 : 5 and after 5 years they will be in the ratio 5 : 6. The present age of A is
a) 25 years
b) 40 years
c) 20 years
d) 10 years
Answer »Answer: (c)
Let the present age of A and B be 4x and 5x years respectively,
According to the question,
${4x + 5}/{5x + 5} = 5/6$
25x + 25 = 24x + 30
x = 30 - 25 = 5
A’s present age
= 4x = 4 × 5 = 20 years
Question : 12 [SSC CHSL 2015]
The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is :
a) 9 years
b) 15 years
c) 3 years
d) 5 years
Answer »Answer: (a)
Sonali’s present age
= 5x years
Monali’s present age = 3x years
According to the question,
After 5 years,
${5x + 5}/{3x + 5} =10/7$
${x +1}/{3x + 5} = 2/7$
7x + 7 = 6x + 10
7x - 6x = 10 - 7
x = 3
Monali’s present age
= 3x = 9 years
Question : 13 [SSC CGL Tier-I 2016]
The ratio of the present ages of two boys is 3:4. After 3 years, the ratio of their ages is equal to will be 4:5.The ratio of their ages after 21 years will be
a) 11:12
b) 10:11
c) 17:19
d) 14:17
Answer »Answer: (b)
Let the ages of boys be 3x and 4x years respectively.
According to the question,
After 3 years
${3x + 3}/{4x + 3} = 4/5$
16x + 12 = 15x + 15
16x - 15x = 15 - 12
x = 3
Required ratio after 21 years
= ${3x + 21}/{4x + 21}$
= ${3 ×3 + 21}/{4 × 3 + 21} = {9 + 21}/{12 + 21}$
= $30/33 = 10/11$
Question : 14 [SSC CGL Prelim 2008]
Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is
a) 44 years
b) 28 years
c) 26 years
d) 48 years
Answer »Answer: (d)
Let the age of A and B four years ago be 11x and 14x years respectively.
According to the question,
After 4 years from now,
${11x + 8}/{14x + 8} = 13/16$
176x + 128 = 182x + 104
182x - 176x = 128 - 104
6x = 24 ⇒ $x = 24/6$ = 4
A’s present age = (11x + 4) years
= 11 × 4 + 4 = 48 years
Question : 15 [SSC CAPFs 2016]
The present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is :
a) 33 years
b) 30 years
c) 32 years
d) 35 years
Answer »Answer: (d)
A’s present age = 5x years
B’s present age = 6x years
According to the question,
After 7 years,
${5x + 7}/{6x + 7} = 6/7$
36x + 42 = 35x + 49
36x - 35x = 49 - 42
x = 7
A’s present age
= 5x = 35 years
IMPORTANT quantitative aptitude EXERCISES
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199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
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Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
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159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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