Question

A two digit number is 3 more than 4 times the sum of its digits. If 18 is addedto the number, its digits are reversed,. Fimd the number (hint- let the two digit number = 10a+b. 35 ans​

Answer 1

Answer:

35

Step-by-step explanation:

Let at 10 th place =x

ones place =y

So no is: 10x+y

Given 10x+y=4*(x+y)+3

10x+y=4x+4y+3

6x-3y=3------------------------(1)

CaseII If 18 is added to the number then

no=10x+y+18

Now digits are reversed

10x+y+18=10y+x    ( x,y are interchanged)

9x-9y=-18

or 3x-3y=-6------------------------(2)

subtract (2) from (1)

3x=3-(-6)

3x=3+6=9

x=9/3=3

From(2)

3*3-3y=-6

9-3y=-6

-3y=-6-9

-3y=-15

y=5

Hence the original number is: 35