Question

A 2digit number is such that the tens digit exceeds thrice 3 the unit digit by 3 and the number odtsined by interchanging the digits is 2 more than twice the sum of the digits find the number

Answer 1

ANSWER

Let the two digit number be 10x+y where y is units digit and x is ten's digit.

It is given that-

x=2y+2 ...(1)

and 10y+x=3(x+y)+5 ....(2)

an solving equation (2) and (1)

10y+x=3x+3y+5

⇒7y−2x=5

∴7y−2(2y+2)=5

3y−4=5

3y=9

y=3

and x=2y+2=6+2=8

the two digit number is 83

hope this is helpful

have a nice day