The age of Abhi, 7 years from now, will be 25% more than the age of Sunny 5 years
hence. 5 years ago, the average of age of Abhi's father and Abhi was 23 years. Abhi
was 4 years old when Sunny was 1 year old. What will be the age of Abhi's father
when Sunny was 10 years old?
Answers
Answer:
I don't know sorry'
Solution :-
given that, Abhi was 4 years old when Sunny was 1 year old.
we can say that, Abhi is 3 years elder than Sunny .
so, Let us assume that, Present age of Sunny is x years.
then,
→ After 5 years Sunny age will be = (x + 5) years.
and,
→ After 7 years abhi age will be = (x + 3) + 7 = (x + 10) years.
A/q,
→ (x + 10) = 125% * (x + 5)
→ (x + 10) = (125/100)(x + 5)
→ 4(x + 10) = 5(x + 5)
→ 4x + 40 = 5x + 25
→ 5x - 4x = 40 - 25
→ x = 15 years.
then,
→ Abhi Present age = 15 + 3 = 18 years.
now, given that, 5 years ago, the average of age of Abhi's father and Abhi was 23 years.
so,
→ 5 years ago , abhi was = 18 - 5 = 13 years old.
therefore,
→ Abhi + Abhi's father = 23 * 2
→ Abhi's father = 46 - 13
→ Abhi's father = 33 years.
hence,
→ Present age of Abhi's father = 33 + 5 = 38 years.
now,
→ Sunny was 10 years old = 5 years ago .
then,
→ Age of Abhi's father 5 years ago = 38 - 5 = 33 years (Ans.)
Hence, when Sunny was 10 years old , the age of Abhi's father will be 33 years.
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