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Arnav’s father is 49 years old. He is nine years older than four times the Arnav’s age. Set up an equation to find Arnav’s age.

Last updated date: 06th Sep 2024
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Hint: We should first read the question & try to relate Arnav’s age with that of his father. Here, age of Arnav’s father is to be derived from that of Arnav according to the question so Arnav’s age should be assumed first. Then we will have to form a linear equation of their relation to solve this problem.

Let us assume the age of Arnav be $x$ years.
Then, four times of Arnav’s age will be $4x$ years.
Then, nine years older than that will be - $4x + 9$ years
Since, as per question, Arnav’s father age is$\;49$ years, then,
$49 = 4x + 9$ - Equation to find age of Arnav .
Or, $4x + 9 = 49$ [ taking all numerical terms in one side of = sign ]
or, $x = \dfrac{{49 - 9}}{4} = 10years$
The above is the equation for finding Arnav’s age and Age of Arnav is $10{\text{ }}years.$