The product of two digit numbers is 1431. The product of theirten's digit is 10 and the product of theirunit's digit 21.Find the number
Answers
Answer:
53 and 27
Step-by-step explanation:
The method I used to find the solution was to find the factors of each of the two products. The factors of 10 are 5 and 2 which means that those must be our tens digits. The factors of 21 are 3 and 7 so those must be our unit digits. With this figured out, there are only 2 options (53 and 27 or 23 and 57). Another thing we can see is that the sum of the digits of the number 1431 is 9. This is important since any and all numbers whose digits sum to 9 are divisible by 9. This means that at least one of the 2 numbers in the answer must be divisible by 9. The only number in the list that fits this description is 27 and thus the answer must be 53 and 27.
53 and 27
The method to find the solution was to find the factors of each of the two products.
The factors of 10 are 5 and 2 which means that those must be our tens digits. The factors of 21 are 3 and 7 so those must be our unit digits. With this figured out, there are only 2 options (53 and 27 or 23 and 57). Another thing we can see is that the sum of the digits of the number 1431 is 9.
This is important since any and all numbers whose digits sum to 9 are divisible by 9. This means that at least one of the 2 numbers in the answer must be divisible by 9.
The only number in the list that fits this description is 27 and thus the answer must be 53 and 27.
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