Question

in a two digit number the unit place digit is one more than twice the tens place digit. if you interchange the digit, the new number formed is 36 more than the original number. find the original number.

Answer 1

Answer: 37

Step-by-step explanation:

from clue 1 possibilities: 13, 25, 37, 49

clue 2:  31, 52, 73,94

since 73 - 37 = 36, 37 is the original number.

Answer 2

Step-by-step explanation:

Let the Number be expanded as 10x+y,where x is the ten's digit and y is the unit's digit.

So:

y=2x+1------->1

Let the interchanged number be 10y+x

10y+x=10x+y+36

9y-9x=36

y-x=4---------->2

By substituting 1 in 2,we get:

2x+1-x=4

x+1=4

x=3

By substituiting the value of x in 1 we get the value of y as 7.

Number=37.