Question

There is a two digit number which is equal to four times the sum of the digits. If 27 is added to the number the number's digits are reversed. find the number.​

Answer 1

Answer:

Let tens digit be x and units digit be y

Then number =10x+y

Since the number is 4 times the sum of digits

Hence 10x+y=4(x+y) i. e. 6x=3y. Or 2x=y……(i)

Also when 27 is added the digits are reversed

Number when digits are reversed =10y+x

Hence 10x+y+27=10y+x

9x+27=9y. Or x+3=y………..(ii)

From (i) and (ii) we get

x+3=2x hence x=3. and y=2x=6

and number =36

Step-by-step explanation:

Mark me as brilliant