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Q.

A two-digit number is equal to three added to four times the total sum numbers. Add 18  to the numbers to swap the numbers. Find the number:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept-
The unit of the original number is x, and the tens place of the original number is y. Therefore, the original number is Question ImageTherefore, we use the statement that the two-digit number 3 is at least four times the sum of the digits to form the first equation. Swapping the numbers adds Question Imagewhich is equal to 18, to the original number, resulting in the second expression. Solve the equation to get the answer.
Let the tens and unit digit of number are Question ImageFirst condition:
Question ImageSecond condition :
Question ImageQuestion ImageSubtract resultant equations;
Question ImageQuestion ImageQuestion Image Two digit number Question ImageHence, option 1 is correct.
 
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