At present, Ali's age is double the age of Anwar. After 6 years, the ratio of their ages will be 23:13. What is Ali’s current age?
- 40 years
- 28 years
- 30 years
- 32 years
Explanation
Let Anwar's current age = x
Then Ali's current age = 2x
After 6 years:
Ali's age = 2x + 6
Anwar's age = x + 6
According to question:
(2x + 6)/(x + 6) = 23/13
Cross-multiplied:
13(2x + 6) = 23(x + 6)
26x + 78 = 23x + 138
26x - 23x = 138 - 78
3x = 60
x = 20
Ali’s age = 2x = 40 years
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