A number consists of two digits whose sum is 9. If
27 is subtracted from the number, its digits get
reversed. The number is
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Step-by-step explanation:
Let us assume, x and y are the two digits of the two-digit number
Therefore, the two-digit number = 10x + y and reversed number = 10y + x
Given:
x+ y = 9
also given:
10x + y - 27 = 10y + x 9x - 9y = 27 =
X - y = 3 ------ -2 Adding equation 1 and equation 2
2x = 12 x = 6
Therefore, y = 9 - x = 9 6 = 3
The two-digit number = 10x + y = 10*6 + 3 = 63
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