An Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE &

CBSE Board.

Here Given :

(i) the sum of consists of two digits

(ii) If a number is added to the number, the digits change their places.

You have to find the number.

This is the Question Number 48 Exercise 3E of RS Aggarwal Solution.

Deepak BoraNewbie

# A number consists of two digits whose sum is 9. If 27 is added to the number, the digits change their places. Find the number.

Share

This answer was edited.Let the two digits be a,b.

So, The two digit number will be 10a + b, and reverse of that number = 10b + a

Given, a + b =9 ——————- (i)

10a + b + 27 = 10b + a

b -a = 3 ——————– (ii)

On solving (i) and (ii), we get

b = 6

Submit this value in (ii) on we get,

a = 9 – 6 = 3

On submitting the value in above equation we get,

10a + b

= 10 * 3+ 6

=36

So, The number is 36.