CBSE Class 9 Answered
Sum of the digits of a two digit number is
12. If 18 is added to the original number the digits interchange their
places. Write two linear equations representing these situations.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Let the unit's digit be x and the ten's digit be y.
Sum of the digits of a two digit number is given to be 12.
x + y = 12 …….(i)
Original number = 10y + x
Number obtained on reversing the digits = 10x + y
According to the question:
10y + x + 18 = 10x + y
9x - 9y = 18
x - y = 2 …….(ii)
(i) and (ii) are the required equations.
Answered by | 04 Jun, 2014, 03:23: PM
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