Ram’s present age is 4/5thof the age of his brother. After 10 years, he will be 9/10thof the age of his brother. How old is the brother at present?a)35 yearsb)25 yearsc)40 yearsd)10 yearsCorrect answer is option 'D'. Can you explain this answer?

Question

Ram&rsquo;s present age is 4/5thof the age of his brother. After 10 years, he will be 9/10thof the age of his brother. How old is the brother at present?a)35 yearsb)25 yearsc)40 yearsd)10 yearsCorrect answer is option 'D'. Can you explain this answer?

Answer

Let the brother’s present age be x years.

Then,

Ram’s present age = 4/5 x

⇒ 4x/5 + 10 = 9/10(x + 10)

⇒ 9x/10 - 4x/5 = 10 - 9

⇒ 5x/50 = 1

⇒ x = 10

Brother’s age = 10 years.

Answer

Let the brother’s present age be x years.

Then,

Ram’s present age = 4/5 x

⇒ 4x/5 + 10 = 9/10(x + 10)

⇒ 9x/10 - 4x/5 = 10 - 9

⇒ 5x/50 = 1

⇒ x = 10

Brother’s age = 10 years.

Answer

Let the brother’s present age be x years.

Then,

Ram’s present age = 4/5 x

⇒ 4x/5 + 10 = 9/10(x + 10)

⇒ 9x/10 - 4x/5 = 10 - 9

⇒ 5x/50 = 1

⇒ x = 10

Brother’s age = 10 years.

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