Question

Alex's father is 2 years older than three times Alex's age. If the age of Alex's father is 47 years, then which of the following equations is correct for the given situation.(Assume Alex age is $x$ years)

• A. $3x+2=47$
• B. $3x-2=47$
• C. $3\times 2-x=47$
• D. $3\times 2+x=47$

Answer 1

The correct option is A $3x+2=47$

We have to assume age of Alex is $x$ years.
Now, 3 times Alex's age $=3\times x=3x$

Given, Alex's fathers is 2 years older than three times Alex's age.
$⟹$ Age of Alex's father $=3x+2$

Also, age of Alex's father is 47.
$⟹3x+2=47$

Hence, equation in option 'a' will be the correct equation.