Question

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

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Answer 1

Answer:

Let the tens and the units digits be x and y

Number = (10x + y)  

According to the Question,

= 10x + y = 4(x + y) + 3  

= 10x + y = 4x + 4y + 3  

= 6x - 3y = 3  

= 2x - y = 1 ---- eqn 1

Also,

10x + y + 18 = 10y + x  

= 9x - 9y = -18  

= x - y = -2 ---- eqn 2 

Subtracting 2 from 1, we get

= x = 3  

Putting x's value in 1, we get  

= 2x - y = 1

= 2 × 3 - y = 1  

= y = 6 - 1

= y = 5  

Number = (10x + y) = 10 × 3 + 5 = 30 + 5 = 35.

Hence, the required number is 35.

Answer 2

Answer:

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