Linear Equations in One Variable Test

Result

Linear Equations in One Variable Test - 8

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Question 1
1 / -0

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 _____.

A
53

B
45

C
92

D
63

Solution

Let units place digit be x. So tens place digit = 9 − x . ∴ The original number =10(9-x)+x = 90-10x + x=90 - 9x Now, after interchanging the digits, the number formed =

10 (x) + 9 - x = 9x + 9 ∴ According to question, we have 90 - 9x - 27 = 9x + 9 ⇒ −18x = − 54 ⇒ x = 3 So, the original number = 90 − 9 × 3 = 63