Question

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

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

=> 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

I hope this will help you dear..

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