A number of two-digit numbers having the property that they are perfectly divided by the sum of their digits with quotient equal to 7, is:

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Solution

The correct option is C 4
Let the unit digit of the number is = y.
and the tenth place digit is = x
So, the number is $= 10 x + y$ ,
AT.Q. s $\frac{10 x + y}{x + y} = 7$
$⟹ 10 x + y = 7 x + 7 y$
$⟹ 3 x = 6 y$
$⟹ x = 2 y$
Hence, the total numbers are 4 i.e. 21,42,63, 84.

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A number of two-digit numbers having the property that they are perfectly divided by the sum of their digits with quotient equal to 7, is:

The correct option is C 4Let the unit digit of the number is = y.and the tenth place digit is = xSo, the number is =10x+y,AT.Q. s10x+yx+y=7⟹10x+y=7x+7y⟹3x=6y⟹x=2yHence, the total numbers are 4 i.e. 21,42,63, 84.

The correct option is C 4
Let the unit digit of the number is = y.
and the tenth place digit is = x
So, the number is $= 10 x + y$ ,
AT.Q. s $\frac{10 x + y}{x + y} = 7$
$⟹ 10 x + y = 7 x + 7 y$
$⟹ 3 x = 6 y$
$⟹ x = 2 y$
Hence, the total numbers are 4 i.e. 21,42,63, 84.