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3. 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. 35​

Answer»

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


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