Question

The sum of the digits of a 2-digit number is 9. The number is 6 times the units digit . Find the number .
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Answer 1

Let the digit in the units place =x

Let the digit in the tens place =y

Then the 2-digit number is =10y+x

Sum of the digits of the number is 9

x+y=9 ....................... (1)

The number is 6 times the units digit.

So,

10y+x=6x

10y=5x

2y=x ....................... (2)

Substitute x=2y in equation (1),

2y+y=9

3y=9

y=3

x=2y

x=2×3=6

Now, the number is =10y+x

=30+6

=36

Answer 2

Step-by-step explanation:

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