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)
Answers
Answered by
1
Answer:
35
Step-by-step explanation:
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Answered by
0
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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