Question

Chapter name= Simple Equation...
Solve the problem.....
The sum of the digits of a two digit number is 9. If 45 is added to the number , the digits are interchanged. Find the number​

Answer 1

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Answer 2

Answer:

Number is 27.

Step-by-step explanation:

Let the unit digit of the number be x and tens digit be 10*y=10y.

Original Number= 10y + x

Number with interchanged digits=10x + y

According to question,

10y + x + 45 = 10x + y

9y -9x = -4510

y - x = -5 .............(i)

And

x + y = 9

x= 9 - y .............(ii)

From (i) and (ii) equations,

y - (9- y) = -5

y -9 +y = -5

2y= -5 +9

2y= 4

y= 2

Now,

x= 9-y

x=9 - 2

x=7

Original number= 10y + x

=10* 2 +7

= 20+7

=27

Hence, the number is 27.