Question

3. The digit in the tens place of a two-digit number is three times that in the units place. If the
digits are reversed, the new number will be 36 less than the original number. Find the
original number. Check your solution.​

Answer 1

Answer:

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Answer 2

Answer:

The original number is 62.

Step-by-step explanation:

1. Tens digit: $3x$
2. Units digit: $x$
3. Now we can make this equation which is:( This is old number)
4. $10 \times 3x + x = 31x$
5. Now reverse the position of $3x and x$. You will get the result:( This is new number)$10 \times x + 3x = 13x$
6. We know that the new number was 36 less than the original number. Thus,

$31x - 36 = 13x \\ 31x - 13x = 36 \\ 18x = 36 \\ x = 2$

• Now just substitute $x=2$ in the equation of original number which was:
• $10 \times 3x + x = 31x \\ 10 \times 3(2) + (2) = 31(2) \\ 62 = 62$
• This means that the original number was 62.