the sum of two numbers is 10 and their product is more than 21

Question

Construct an inequation for this information

Answer 1

Let the two numbers be x and y.

Their sum is less than 10.

Therefore both x and y are single digit numbers in the range [1 .. 9]

pairs of numbers adding to 10

1+9   product is 9

2+8   product is 16

3+7   product is 21

4+6   product is 24  (a possibility)

5+5   product is 25  (a possibility)

We are not told thast the two numbers must be different numbers.

Therefore we have two answers.

Answers: 4 and 6, 5 and 5