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Q.

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.

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a

10

b

11

c

12

d

13

answer is A.

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Detailed Solution

Concept-
Reading the question first will help us compare Arnav's age to his father's. In this case, the age of Arnav's father must be deduced from Arnav's age in order to answer the question, hence Arnav's age must be assumed first. To answer this problem, we must then create a linear equation based on their relationship.
Let's say that Arnav is x years old.
After then, Arnav will have aged four times as many years.
Then, four times plus nine years will be nine years older.
Since the answer to the question is that Arnav's father is 49 years old, the equation to determine Arnav's age is 49=4x+9.

https://lh5.googleusercontent.com/hK3RVbUXmaqPi0IdNbw_0pNFR0LBDevXPn0scxyDSQeMrSZSC4cASosuqqWX0i0L-egqjDb__qzPzLx4MxFMjQTY7wnQ13SOpyi3-894a1OAcz_anSafhRmpOqnz8ix3xKlOieiM7BGjkd1xeGEBew

Hence, the correct answer is option 1) 10

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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.