The product of two numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is
Question
The product of two numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is
Solution
Let's denote the two numbers as x and y.
From the problem, we know that:
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x*y = 1575 (The product of the two numbers is 1575)
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x/y = 9/7 (Their quotient is 9/7)
We can rearrange equation 2) to find y in terms of x: y = x * (7/9)
Now we can substitute y in equation 1) with x * (7/9):
x * (x * 7/9) = 1575 7/9 * x^2 = 1575 x^2 = 1575 * 9/7 x^2 = 2025 x = sqrt(2025) x = 45
Substitute x = 45 in equation 2) to find y:
45/y = 9/7 y = 45 * 7/9 y = 35
So, the sum of the numbers is x + y = 45 + 35 = 80.
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