Question

A two-digit number is 3 more than 4 times the sum
of its digits. If 18 is subtracted from the number, the
digits are reversed. Find the number.
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Answer 1

Answer:

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Step-by-step explanation:

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. What is the number?

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