Question

The sum of the digits of the two digit number is 12. The number obtained by interchanging the two digits exceeds the givin number by 18 find the number

Answer 1

Hey

Here is ur answer

Let the ones place be x and tens place be y

Two digit number = 10*tens place + ones place


Two digit number = 10y+ x

According to question

x+y=12➖ (1)

After interchange the digits

Then
Two digit number = 10x +y

Now
According to question

10x+y-10y-x = 18

9x-9y= 18
x-y= 2➖ (2)

Solving 1 and 2 equation by substitution method
From equation 2
We get
x-2=y➖ (3)

Put x-2=y in equation 1
We get
x+x-2=12
2x=14
x=7

Put x=7 in equation 3 we get

7-2=y
y=5

Therefore two digit number = 10y+x= 10*5+7=57

The number is 57

Hope it helps you

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