Question

A two digit number is 4 more than 6 times the sum of its digits. If 18 is
subtracted from the number, the digits are reversed. Find the number.
[By the method of elimination only]

Answer 1

Answer:

Step-by-step explanation:

let the two digit number is 10x+y

10x+y=6(x+y)+4

4x-5y=4---(1)

10x+y-18=10y+x

9x-9y=18

x-y=2--(2)

(1) and (2) solve

mmultiply (2) with 4

4x-5y=4

4x-4y=8

-----------------

-y=-4

y=4

subsitute in (2)

x=6

the numbers are 6*10+4

=64