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pav-90 [236]
3 years ago
13

The sum of the digits of a two-digit number is 14. When the digits are reversed, the new numbers is 36 more than the original nu

mber. What is the original number?
Explain the steps please too.
Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

The number is 59

Step-by-step explanation:

Let the two digit number be qr.

According to question, q + r = 14

The digits that add to 14 are

1) 59

2) 68

3) 77

4) 86

5) 95

Now,

The reverse of qr is rq.

According to question, rq = 36 + qr

The digit qr cannot be 68,77,86 or 95 because adding 36 to it will result to 3 digit number.

So, qr is 59.

rq = 36 + qr

95 = 36 + 59

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