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3 years ago

The sum of three numbers is 61 the second number is 5 times the first while the third is 2 less than the first find the numbers

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

9 + 45 + 7 = 61

Step-by-step explanation:

a+b+c = 61...eqn 1

b = 5a...eqn 2

c = a - 2...eqn 3

subst for b and c in eqn 1...

=> a+5a+a-2 = 61

=> 7a = 63

=> a = 9

subst for a in eqn 2...

=> b = 5×9 = 45

subst for a in eqn 3...

=> c = 9-2 = 7

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vivado [14]

Answer:

<em>The actual distance between Rose Lake and the hiking trail is 7 miles.</em>

Step-by-step explanation:

The actual distance between Rose Lake and the main road is 3.5 miles and the scaled distance on the map is 2 inch.

Suppose, the actual distance between Rose Lake and the hiking trail is $d$ miles.

Given that, the scaled distance from Rose Lake to the hiking trail on the map is 4 inch.

So, <u>according to the ratio of "scaled distance" to the "actual distance"</u>, the equation will be......

$\frac{2}{3.5}= \frac{4}{d} \\ \\ 2d=4*3.5=14\\ \\ d=\frac{14}{2}=7$

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