Question

The sum of the digits of a two-digit number
is 8. If 18 is added to the number, the digits
are reversed. Find the number. 35. (Substitution method)​

Answer 1

Answer:

35

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let x & y be respectively unit & tenth digits of two-digit number then the number will be

=  10y+x

Condition 1: sum of digits is 8 hence

x+y=8 -------- (1)

Condition 2: When 18 is added to the number 10y + x then digits are reversed i.e. number becomes 10x+y hence

=18+10y+x=10x+y

=9x-9y= 18

=x-y = 2 --------(2)

Adding (1) & (2) as follows

=x+y + x-y = 8+2

=2x = 10

=x=5

Setting x=5 in (1), we get

=5+y = 8

=y=3

hence the number is

=10y+x

=10×3+5

=35

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