Question

a number consists of two digits that add up to 7. if 27 is added to this number, the digits get reversed. identify the number ​

Answer 1

Answer:

The number is 25.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given:-

a number consists of two digits that add up to 7. if 27 is added to this number, the digits get reversed.

To find:-

identify the number

Solution:-

Let the digits in the number = a and b

Let a is at 10s place and b is 1s place

The number=10a+b

the sum of the digits=7

=>a+b=7--------(1)

27 is added to the number then it is reversed

=>10a+b+27=10b+a

=>10a+b-10b-a=-27

=>9a-9b=-27

=>9(a-b)=-27

=>a-b=-27/9

=>a-b=-3-----(2)

from (1)&(2)

a+b=7

a-b=-3

(+)

________

2a+0=4

________

=>2a=4

=>a=4/2

=>a=2

from (1)

Substituting the value of a in (1)

=>2+b=7

=>b=7-2

=>b=5

Answer:-

The digits are 2 and 5

The number=25