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.
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Answer 1

Step-by-step explanation:

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