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Combination of Atleast One Thing from n Things When All Are Not Different

The positive ...

Question

The positive two-digit integers $x$ and $y$ have the same digits, but in reverse order. Which of the following must be a factor of $x + y$ ?

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Solution

The correct option is B $11$
$\Rightarrow$ Let two positive integers are $x = 17$ and $y = 71$ .
$\Rightarrow$ $x + y = 17 + 71 = 88$
$\Rightarrow$ $88 = 11 \times 2 \times 2 \times 2$
$∴$ From the factors given in the options, $11$ will be the factor of $x + y$ .

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The positive two-digit integers x and y have the same digits, but in reverse order. Which of the following must be a factor of x+y?

The correct option is B 11⇒ Let two positive integers are x=17 and y=71.⇒ x+y=17+71=88⇒ 88=11×2×2×2∴ From the factors given in the options, 11 will be the factor of x+y.

The positive two-digit integers $x$ and $y$ have the same digits, but in reverse order. Which of the following must be a factor of $x + y$ ?

The correct option is B $11$
$\Rightarrow$ Let two positive integers are $x = 17$ and $y = 71$ .
$\Rightarrow$ $x + y = 17 + 71 = 88$
$\Rightarrow$ $88 = 11 \times 2 \times 2 \times 2$
$∴$ From the factors given in the options, $11$ will be the factor of $x + y$ .