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Deepak Bora
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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.

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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.

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1 Answer

  1. 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.

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