sum of arjun and his father age is equal 72 years six years old his arjun arjun father was 44 years old find their present age
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Correct Question -
Sum of arjun and his father age is equal 72 years. Six years ago Arjun's father's age was 44 years old find their present age.
Given -
- Sum of Arjun and his father's age = 72 years
- Six years ago Arjun's father's age = 44 years
To find -
- Their present ages.
Solution -
Let the age of Arjun be (72 - x) and his father's age be x.
6 years ago their ages -
- Son's age = (72 - x - 6) = (66 - x)
- Father's age = (x - 6)
According to the question.
⇛ (x - 6) - (66 - x) = 44
⇛ x - 6 - 66 + x = 44
⇛ 2x - 72 = 44
⇛ 2x = 44 + 72
⇛ 2x = 116
⇛ x = 116/2
⇛ x = 58
The value of x = 58
Their present ages -
- Father's age = x = 58 years.
- Arjun's age = (72 - x) = 72 - 58 = 14 years.
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Let's verify -
As it is given in the question. Sum of their ages = 72 years.
So, add their present ages.
⇛ 58 + 14
⇛ 72 years
Hence verified.
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