Question

A two-digit number is 3 more than 4 times the sum of its digits. if 18 is added to the number, its digits are reversed. find the number.​

Answer 1

Step-by-step explanation:

let two digit number= 10x+y

A.T.Q.

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

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

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

6x-3y=3

3(2x-y)=3

2x-y=1 ....(i)

10x+y+18=10y+x

10x+y-x-10y= -18

9x-9y= -18

9(x-y)= -18

x-y= -2 ....(ii)

subtract equation (i)-(ii)

(2x-y)-(x-y)=1-(-2)

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

x=3

putting value of x equation (ii)

x-y= -2

3-y= -2

-y= -2-3

-y=-5

y=5

number=10x+y

10*3+5

30+5

35 ans.