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36 votes
three numbers have a sum of 180. the second number is 4 times the smallest number. the third number is 7 times the smallest number. what is the largest number?

User Chekmare
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2 Answers

12 votes
12 votes

Answer:

105

Explanation:

Let x, y and z be the 3 numbers in the order first, second and third

x + y + z = 180

Second number y is 3 times the smallest number and third number z is 7 times the smallest number. So smallest number has to be x

so y = 4x

z = 7x

x + y + z = x + 4x + 7x = 180

12x = 180

x = 15

Largest number = 7 x 15 = 105

User UgoL
by
2.4k points
13 votes
13 votes
X+4x+7x=180
12x=180
X=15
4x=60
7x=105
15+60+105=180
User Anil Vishnoi
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2.9k points