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Vlad [161]
3 years ago
15

The difference of two numbers is 7. Their sum is 41. What is the smaller number?

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0
17 is the smaller number.
EXPLANATION:

The numbers are 24 and 17.

Difference of 7? Check.

Sum of 41? Check.

BOOM magic
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Let h,l, and w represent the height, length, and width of the building respectively

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\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}\Rightarrow h=\frac{12.5l}{w}

The new value of h = 50m, but l remains the same.

That is l = 10m

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\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}

Hence, the width is 2.5m

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1 year ago
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