Problems on Numbers Exam Pattern Mix

One number is 4 less than 3 times another, and their sum is 32. What is the larger number?

When the digits of a two-digit number are reversed, the new number is 4/7 of the original. The digits add up to 12. What is the original number?

Three consecutive multiples of 7 add up to 357. What is the largest of them?

The sum of the squares of two numbers is 80, and the square of their difference is 36. What is their product?

When 15 is subtracted from a number and the remainder is divided by 5, the result is 7. What is the number?

The square of a positive number exceeds 4 times the number by 45. What is the number?

A number is multiplied by 11 and 11 is added to the product. If the result is divisible by 13, what is the smallest such natural number?

How many three-digit numbers have all their digits different and in increasing order from left to right (like 158)?

A number is increased by 12 and then multiplied by 4. The result equals 8 times the original number. What is the number?

Two consecutive numbers add up to 45. What is their product?