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dsp73
3 years ago
10

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

the number​
Mathematics
1 answer:
lianna [129]3 years ago
3 0

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

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