The sum of digits of s two digit number is 8. If 36 is added to this number, the digits are reversed. Find the number?(only in 1 variable)
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Answer:
26
Step-by-step explanation:
Let's consider x and y are two-digit numbers.
Therefore, the two-digit number is 10x+y and the reversed the number is 10y+x.
The sum of two-digit number is 8.
x + y = 8
x = 8 - y ________1
Given: 10x + y + 36 = 10y + x
9x + 36 = 9y
36 = 9y - 9x
y - x = 4 _________2
substitute 1 in 2
y - (8 - y) = 4
2y = 12
y = 6 __________3
substitute 3 in 1
x = 8 - 6
x = 2
So, the two digit number is 26.
The reversed number is 62.
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