Question

Jaya is 14 years old now. Her uncle is three times as old as she is What will the ratio of jaya's age to her uncle's age be in 10 years time?


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Answer 1

Step-by-step explanation:

Hint: Use the given information to form a linear equation

Solution:

Step 1: Use the given information to form a linear equation

Let Aman's son's present age =x

According to the question, Aman's present age =3x

Given, ten years ago,

Aman's age =3x−10

Aman's son age =x−10

Aman's age =5 × Aman's son's age

∴3x−10=5(x−10)

Step 2: Solve the above equation

⇒3x−10=5x−50

⇒5x−3x=50−10

⇒2x=40

⇒x=20.

So, Aman's son's age =x=20 years

Aman's age =3x=3×20=60 years.

Therefore, the present ages of Aman and his son are 60 and 20 years.