Two-digit number

In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.

Correct answer:

x =  74

Step-by-step explanation:

$$\begin{gathered} a=3+b \\ (10\cdot a+b)\cdot (10\cdot b+a)=3478 \\ 3478=2\times 37\times 47 \\ 47\cdot 74=3478 \\ x=74=74 \end{gathered}$$

Try another example

Related math problems and questions:

• Digit sum
  The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get the number 2430. What is the original two-digit number?
• MO Z8-I-1 2018
  Fero and David meet daily in the elevator. One morning they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
• A number 4
  A number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original number
• Four-digit number
  Find also a four-digit number, which quadrupled written backwards is the same number.
• Two numbers
  One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers.
• Five-digit number
  Anna thinks of a five-digit number that is not divisible by three or four. If he increments each digit by one, it gets a five-digit number that is divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it sw
• Unknown number 5
  I think of an unknown number. If we enlarge it five times, then subtract 3, and the result decreases by 75%, we get one greater than the number. What number am I thinking of?
• Three numbers
  We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
• Four integers
  Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
• PIN code
  PIN on Michael credit card is a four-digit number. Michael told this to his friend: • It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself. • The first digit is larger than the second. • The second d
• Phone number
  Ivan's phone number ends with a four-digit number: When we subtract the first from the fourth digit of this four-digit number, we get the same number as when we subtract the second from the third digit. If we write the four-digit number from the back and
• Digits A, B, C
  For the various digits A, B, C is true: the square root of the BC is equal to the A and sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product).
• Inverted nine
  In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1,8,7,4,9?
• Three numbers
  Find three numbers so that the second number is 4 times greater than the first and the third is lower by 5 than the second number. Their sum is 67.
• Product - quadratic equation
  The product of the two numbers is 900. If we increase the lowest number by two, then its product will increase by 150. Determine both numbers.
• Three-digit
  How many three-digit natural numbers are greater than 321 if no digit in number repeated?
• 7 digit number
  If 3c54d10 is divisible by 330, what is the sum of c and d?