Question

divide 63 in two parts in the ratio 7:2

Answer 1

total= 63
given ratio =7:2
first share = 7x
second share = 2x
7x +2x = 63
9x = 63
x =63/9
x = 9
first share= 7×2=14
second share = 2×2=4

Answer 2

The divisions are 49 and 14.

• Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
• For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio. The letter ":" in this context means "is to." Therefore, "17 is to 13" represents the proportion of those who prefer to walk to those who prefer to cycle.
• Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Here, according to the given information, we are given that,

The amount to be divided is 63.

Let the divisions be 7x and 2x.

Then, we get,

$7x+2x = 63.$

Or, $9x= 63.$

Or, $x = 7.$

Then, the divisions are, $7.(7) = 49$ and $2.(7) = 14.$

Hence, the divisions are 49 and 14.

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