what are two whole numbers whos product is 1,224 and whos sum is 70
You can do this with an equation.
Let one of the numbers be x. Then the other is (70-x).
And we know that x(70-x) = 1224
So -x^2 + 70x = 1224
and solve the quadratic from there.
Another way is to list the prime factors of 1224, and guess your way through. Hint: 17 is a prime factor, which means one of the numbers would have to be 17, 34, 51 or 68, and 68 doesn't look awfully likely!
To find two whole numbers whose product is 1,224 and whose sum is 70, we can use a trial and error method.
Let's start by listing pairs of numbers whose product is 1,224. We can do this by finding factors of 1,224.
The factors of 1,224 are: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504, and 1,224.
Now, we need to check each pair of factors to see if their sum is 70.
For example, when the factors are 1 and 1,224, their sum is 1 + 1,224 = 1,225, which is not equal to 70.
Next, when the factors are 2 and 612, their sum is 2 + 612 = 614, which is also not equal to 70.
We continue this process until we find a pair of numbers whose sum is 70.
Finally, we find that the pair of whole numbers whose sum is 70 and whose product is 1,224 are 24 and 46.
To confirm, 24 multiplied by 46 is indeed 1,224, and their sum is 24 + 46 = 70.