Math, asked by rinkibordoloikalita, 5 months ago

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​

Answers

Answered by AestheticSoul
59

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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