Divide 210 in the ratio of 3:5:7
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The division of 210 in the ratio of 3:5:7 results in three parts with values of 42, 70, and 98.
Step-by-step explanation:
Dividing 210 in the ratio of 3:5:7 means dividing it into three parts such that the first part is three times smaller than the second part, and the second part is five times smaller than the third part. To find the value of each part, we can use the concept of ratios.
First, we need to find the total number of parts in the ratio, which is 3+5+7=15. Then, we can divide 210 by 15 to get the value of one part, which is 210/15 = 14.
Next, we can find the value of each part by multiplying the value of one part by the corresponding ratio factor. The first part is 3 times smaller than the second part, so its value is 314 = 42. The second part is 5 times smaller than the third part, so its value is 514 = 70. The third part is 7 times larger than the first part, so its value is 7*14 = 98.
Therefore, the division of 210 in the ratio of 3:5:7 results in three parts with values of 42, 70, and 98.
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