The present ages of M and N are as 5 : 6. Five years ago their ages were in the ratio of 4 : 5. Find their present ages ?
Select one:
a. 25 years, 30 years
b. 35 years, 42 years
c. 50 years, 60 years
d. 40 years, 48 years
Answers
Answered by
41
Answer:
a. 25 years, 30 years
Step-by-step explanation:
Given:
- The present ages of M and N are as 5 : 6.
- Five years ago their ages were in the ratio of 4 : 5.
To find:
- Their present ages.
Solution:
Let the present ages of M and N be 5x and 6x respectively.
5 years ago, the age of M and N are (5x - 5) and (6x - 5) respectively.
According to the problem,
- (5x - 5)/(6x - 5) = 4/5
- 5(5x - 5) = 4(6x - 5)
- 25x - 25 = 24x - 20
- 25x - 24x = - 20 + 25
- x = 5
Finally,
- Present age of M = 5 × 5
- Present age of M = 25 years
- Present age of N = 6 × 5
- Present age of N = 30 years
∴ Their present ages are 25 years and 30 years respectively.
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Answered by
20
option A
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