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) 70
(b) 40k
(c) 100
(d) 110
The correct answers to the above question in:
Answer: (d)
Ages of the persons
= 4x and 7x years.
7x - 4x = 30
3x = 30 ⇒ x = 10
Sum of their ages
= 4x + 7x = 11x years
= 11 × 10 = 110 years
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Read more age based ratio and proportion problems Based Quantitative Aptitude Questions and Answers
Question : 1
The present ages of A and B are in the ratio 3 : 4. Ten years ago, this ratio was 4 : 7. The present ages of A and B are respectively :
a) 24 years, 32 years
b) 27 years, 36 years
c) 21 years, 28 years
d) 18 years, 27 years
Answer »Answer: (d)
A’s present age = 3x years (let)
B’s present age = 4x years
According to the question,
10 years ago,
${3x - 10}/{4x - 10} = 4/7$
21x - 70 = 16x - 40
21x - 16x = 70 - 40
5x = 30
$x = 30/5$ = 6
A’s present age
= 3x = 3x × 6 = 18 years
B’s present age
= 4x = 4 × 6 = 24 years
Question : 2
The ratio of the age of Ram and Rahim 10 years ago was 1 : 3. The ratio of their age five years hence will be 2 : 3. Then the ratio of their present age is
a) 3 : 4
b) 2 : 5
c) 3 : 5
d) 1 : 2
Answer »Answer: (c)
Let the age of Ram and Rahim 10 years ago be x and 3x years respectively.
After 5 years from now,
${x + 15}/{3x +15} = 2/3$
6x + 30 = 3x + 45
3x = 45 - 30 = 15
x = 5
Ratio of their present age
= (x + 10) : (3x + 10)
= 15 : 25 = 3 : 5
Question : 3
The ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be
a) 4 : 3
b) 3 : 4
c) 1 : 2
d) 2 : 3
Answer »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
Question : 4
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 »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
Question : 5
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 »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
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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