Question

A number consists of 2 digits whose sum is 13. If 27 is subtracted from the number, the digits are reversed. Find the number.​

Answer 1

Answer:

85

Step-by-step explanation:

Let that no. be 10x+y

Given, x+y=13..........1

According to question,10x+y−27=10y+x

9x−9y=27

x−y=3 .........2

Now substitute  the value of  x from 2 to 1

y+3+y=13

2y=10

y=5

Now put the value of y in 2

x−5=3

x=8

so, that no. is 10(8)+5 = 85

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Answer 2

Answer:

Let that no. be 10x+y

Given, x+y=13..........1

According to question,10x+y−27=10y+x

9x−9y=27

x−y=3 .........2

Now substitute  the value of  x from 2 to 1

y+3+y=13

2y=10

y=5

Now put the value of y in 2

x−5=3

x=8

so, that no. is 10(8)+5 = 85

Step-by-step explanation: