Question

• The sum of the digits of a two-digit number is 10. If
36 is subtracted from the number, the digits
interchange their places. Find the number,​

Answer 1

Answer:

The number is 73

Step-by-step explanation:

Let the two digits be x, y

ATQ, x+y=10———(1)

10x+y-36=10y+x

9x -36 = 9y

x-4=y

x-y=4———(2)

Adding equation (1) and (2)

x+y+x-y = 10+4

2x = 14

x=7

putting value of x in equation (1)

y=3

So the number is 73

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