Two numbers are in ratio 3:5 and their sum is 72. find the two numbers
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Two numbers are in ratio 3:5 and their sum is 72. find the two numbers
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Answer:
the two numbers are 6 and 12, and the ratio is indeed 3:5.
Step-by-step explanation:
We were given that two numbers are in ratio 3:5. So if we represent the first number by “x” and the second by “y,” we can set up the following equations:
3x + 5y = 72
x + y = 12 (sum of both numbers)
First, we can use the second equation to get the values of x and y:
x + y = 12
y = 12 − x
Substitute this back into the first equation:
3x + 5(12 − x) = 72
Simplify this:
3x + 60 - 5x = 72
−2x = −12
x = 6
Substitute this value of x back into the equation for y:
y = 12 − x
y = 12 − 6
y = 6
So the two numbers are 6 and 12, and the ratio is indeed 3:5