type 2 age based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) 4 : 3
(b) 3 : 4
(c) 1 : 2
(d) 2 : 3
The correct answers to the above question in:
Answer: (b)
Sumit’s present age
= 2x years
Prakash’s present age
= 3x years
3x - 2x = 6 ⇒ x = 6
Required ratio
= (2 × 6 + 6) : (3 × 6 + 6)
= 18 : 24 = 3 : 4
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Read more age based ratio and proportion problems Based Quantitative Aptitude Questions and Answers
Question : 1
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 »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 : 2
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 »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 : 3
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 »Answer: (a)
${36 + n}/{50 + n} = 3/4$
144 + 4n = 150 + 3n
4n - 3n = 150 - 144
n = 6
Question : 4
If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?
a) 7 : 8
b) 4 : 5
c) 6 : 7
d) 5 : 6
Answer »Answer: (c)
4 years ago,
P’s age = 5x years
Q’s age = 6x years
According to the question,
5x + 4 + 6x + 4 = 52
11x = 52 - 8 = 44
$x = 44/11$ = 4
Required ratio
= (5x + 4) : (6x + 4)
= (5 × 4 + 4) : (6 × 4 + 4)
= 24 : 28 = 6 : 7
Question : 5
The ratio of the present age of Puneet and Appu is 2 : 3. After 3 years the ratio of their age will be 3 : 4. The present age of Puneet is :
a) 9 years
b) 4 years
c) 6 years
d) 3 years
Answer »Answer: (c)
Let the present age of Puneet and Appu be 2x and 3x years respectively.
After 3 years,
${2x + 3}/{3x + 3} = 3/4$
9x + 9 = 8x + 12
x = 3
Present age of Puneet
= 2x = 2 × 3 = 6 years
Question : 6
The ratio of age of two boys is 5 : 6. After two years the ratio will be 7 : 8. The ratio of their age after 12 years will be
a) $17/18$
b) $11/12$
c) $15/16$
d) $22/24$
Answer »Answer: (a)
The present age of boys are 5x and 6x years respectively.
After 2 years,
${5x + 2}/{6x + 2} = 7/8$
42x + 14 = 40x + 16
2x = 2 ⇒ x = 1
Ratio after 12 years
5x + 12 : 6x + 12 = 17 : 18
GET ratio & proportion PRACTICE TEST 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
ratio & proportion Shortcuts and Techniques with Examples
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