Question

Danny has some apples. Rajesh has 9 apples more than Danny. Manoj says that he has 11 more apples than the number of apples Danny and Rajesh have together. How many apples does Manoj have?

• A. $x+20$
• B. $2x+20$
• C. $x+11$
• D. $x+11$

Answer 1

The correct option is B $2x+20$

Let the number of apples Danny has be $x.$
So, the number of apples Rajesh has will be $x+9.$
Manoj has 11 more apples than those Danny and Rajesh have together.
Number of apples that Danny and Rajesh have,
$=x+(x+9)$
$\therefore$ Number of apples Manoj has
$=x+(x+9)+11$
Grouping the like terms, we get the expression $2x+20.$
Thus, the number of apples that Manoj has is $2x+20.$