Solve the following problems.
1) Yusuf is 24 years older than half of Ajay's age. Five years ago, their total age was 41 years, so take their present age.
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Let the present age of Ajay be x years.
According to question, Yusuf's age is 24 years older than half of Ajay's age.
Hence, Present age of Yusaf = (1x/2 + 24) years
Now, 5 years ago , Ajay's age = x - 5
5 years ago , Yusaf's age = 1x/2 + 24 - 5
= 1x/2 + 19
It's given that five years ago , sum of their ages was 41 years.
Therefore,
x - 5 + 1x/2 + 19 = 41
→ x + 1x/2 + 19 - 5 = 41
→ 3x/2 + 14 = 41
→ 3x/2 = 41 - 14
→ 3x/2 = 27
→ x = 27 × 2/3
→ x = 18
So, Ajay's age = 18 years
Yusaf's age = 1x/2 + 24
= 1× 18/2 + 24
= 9 + 24
= 33 years
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