Question

For positive integers $x$, let the symbol $\underset{–}{\underset{–}{x}}$ represent the sum of the digits of $x$. For example, $\underset{–}{\underset{–}{74}}=7+4=11$. If $n$ is a positive integer and $\underset{–}{\underset{–}{n}}=\underset{–}{\underset{–}{33}}+\underset{–}{\underset{–}{17}}$, which of the following could be the value of $n$?

• A. $14$
• B. $34$
• C. $51$
• D. $65$
• E. $86$

Answer 1

Answer: (E)

$86$

Given that sum of digits of $n$ is equal to the sum of digits of $33$ $+$ sum of digits of $17$.

Therefore sum of digits of $n$ $=3+3+1+7=14$.

So the number is $86$.( sum of numbers is $14$).