the sum of the digit in a two digit no. is 12. if the new no. formed by reversing the digit is greater than the original no. by 54, find the orignal no.
Answers
Answer:
39
Step-by-step explanation:
I will explain my answer in given image
Answer:
39
Step-by-step explanation:
let original number = xy
can be written in the form 10x + y
given , x + y = 12 ..............(a)
new number = reversed digit = yx
can be written in the form 10y + x
new number - original number = 54
( 10y + x ) - ( 10x + y ) = 54
10y + x - 10x - y = 54
9y - 9x = 54
9( y - x ) = 54
y - x = 54 / 9
y - x = 6 ..............(b)
solving (a) and (b) or simply adding (a) and (b)...
x + y + y - x = 12 + 6
2y = 18
y = 9
putting y in (a) or (b)
x = 3
original number = 10x + y = 10(3) + 9 = 30 + 9 = 39
thanks