The ratio of the present ages of A and B is
5:6. Five years ago, the ratio was 4 : 5. Find
their present ages.(Elimination method)
Answers
Step-by-step explanation:
in which school you study
Let the rational between ages of A and B be x. Hence their ages are 5x and 6x.
After 5 years, the respective ratio between the age of A and B will be 7 : 9.
After 5 years ago their ages were (5x - 5) and (6x - 5) and their ratio 7/9
(5x - 5) / (6x - 5) = 7/9
Cross multiplication
9 (5x - 5) = 7 (6x - 5)
45x - 45 = 42x - 35
45x - 42x = 45 - 35
3x = 10
x = 10/3
The rational is 10/3, therefore their resoective ages.
A's age 5x = 5 × 10/3 = - 50/3 = 600/3 months = 200 months = 16 years 8 months
B's age 6x = 6 × 10/3 = 60/3 = 720/3 months = 240 months = 20 years
Age of A is 16 years 8 months and age of B is 20 years
Answer : The ages of both A and B are 16 years 8 months and 20 years respectively
The ratio of their ages = A's age /B's age
= 200 months / 240 months
= 5 : 6
Means answer is correct
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