Question

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

Answer 1

Answer:

Step-by-step explanation:

Let the digits be x and y.

Thus, number=10x+y

Now,

(10x+y) - 4(x+y)= 3.....(i)

and

(10x+y)+ 18=10y+x.....(ii)

Solving (i)

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

or,6x-3y=3

or,2x-y=1....(1)

Solving (ii)

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

or, 9y-9x=18

or,y-x=2...(2)

(1)+(2)

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

or,x=3

Thus, y=x+2 (from (2))

y=5

Therefore the number= 10x+y=10x3+5=35

HOPE THIS HELPS YOU

Answer 2

Answer:

35

Step-by-step explanation:

Let the two digit number be 10x+y.

According to the question,

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

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

6x=3+3y

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

Also, 10x+y+18=10y+x

9x+18=9y

x+2=y --------(2)

By solving (1) and (2), we get,

2x=1+x+2

2x=x+3

x=3 and y=x+2=3+2=5

So, x=3 and y=5.

So, the number is 10x+y=30+5=35.

Thank you