A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged. Then the original 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 -------------1
▪️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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