Divide 32 in the ratio 5:3
Answers
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Answer:
To divide 32 in the ratio 5:3, we can find two numbers that add up to 8 and are in the ratio 5:3 by dividing 32 into 8 equal parts and multiplying each part by 5 and 3, respectively, or by using cross-multiplication to solve for the two numbers. To get the ration, 20, and 12
Step-by-step explanation:
To divide 32 in the ratio 5:3, we need to find two numbers that add up to 8 (since 5+3=8) and are in the ratio 5:3.
One way to do this is to start by dividing 32 into 8 equal parts, each part being 4. Then we can multiply 4 by 5 to get 20, and by 3 to get 12. Therefore, the numbers that divide 32 in the ratio 5:3 are 20 and 12.
Alternatively, we can use cross-multiplication to find the two numbers. We can set up the proportion 5/8 = x/32, where x is the larger number in the ratio. Solving for x, we get x = 20. Similarly, setting up the proportion 3/8 = y/32, where y is the smaller number in the ratio, we get y = 12.
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