Question

The sum of the digits of a two-digit number
is one-fourth the number. If the digits are
reversed, the number thus formed is 18 more
than the original number. Find the number.​

Answer 1

Supp. one digit no.= x

two digit no.= y

Original no. is x+10y

New no. is 10y+x

Sum of the digits of two digit no. is 1/4 of the number.

x+y=1/4- eq. 1

4x+4y=1

If the digits are reversed the no. thus formed is 18 more than the original number.

10y+x=18 eq.2

From 1 and 2

4x+4y=1

10y+x=18 .

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