Let the first number be x and the second number be y. Then we have:
xy/4 = 10 + 9 + 10
Simplifying the right side:
xy/4 = 29
Multiplying both sides by 4:
xy = 116
Now we need to find two numbers whose product is 116. We can start by listing the factors of 116:
1, 2, 4, 29, 58, 116
Since we are looking for two numbers whose product is 116, we can try pairs of factors until we find a pair that works:
1 x 116 = 116 (not a sum of two numbers)
2 x 58 = 116 (sum is 60, not 19)
4 x 29 = 116 (sum is 33, not 19)
So the only pair that works is:
x = 29 and y = 4
Let's check if these values satisfy the original equation:
xy/4 = 29 x 4 / 4 = 29 = 10 + 9 + 10
So the solution is x = 29 and y = 4.