Question

3. A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to ti
number, its digits are reversed. Find the number. 35​

Answer 1

Question :

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

Answer :

Let the number be “ab”

Now ab can be written as “10a+b”

Condition 1 :

10a+b =4(a+b)+3

=>10a+b=4a+4b+3

=> 6a=3b+3

=> 2a=b+1 ————equation (1)

Condition 2 :

Reversed number “ba” =10b+a

10a+b+18= 10b+a

=>9a+18=9b

=>a+2=b ————equation (2)

Compare both the equations

We get a=3,b=5

Therefore the required two digit number is 35

Answer 2

Answer:

35

Step-by-step explanation:

Let the tens and unit digit of number are x,y

First equation-

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

=6x−3y=3

=2x−y=1

Second equation-

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

=x−y=−2

eq1+eq2

=3x=-1/3

=x=3

therefore

x=3

y=5

two digit number =35