Ajit father is four times as old as Ajit. After 5 year he will be three time as old as his son. Find their present ages.
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Answers
Answer:
32 years
Step-by-step explanation:
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Given :
• Ajit father is four times as old as Ajit.
• After 5 year he will be three time as old as his son.
To find :
• The present age of Ajit and his father.
Solution :
Let,
→ The present age of Ajit = x years
→ The present age of Ajit's father = 4(Ajit's age)
→ Present age of Ajit's father = 4(x) = 4x years
Their ages after 5 years :-
→ Ajit's age = x + 5 years
→ Ajit's father's age = 4x + 5 years
According to the question,
→ Ajit's father's age = 3(Ajit's age)
→ 4x + 5 = 3(x + 5)
→ 4x + 5 = 3x + 15
→ 4x - 3x = 15 - 5
→ x = 10
→ The value of x = 10
Substitute the value of 'x' in the age of Ajit and his father :-
→ Present age of Ajit = x = 10 years
→ Present age of Ajit's father = 4x
→ Present age of Ajit's father = 4(10)
→ Present age of Ajit's father = 40 years
Therefore, the present age of Ajit and his father is 10 years and 40 years respectively.