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ehidna [41]
2 years ago
15

The sum of three numbers is 141. The first number is 9 more than the third. The second number is 4 times the third. What are the

numbers?
Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

x...third number

4x...second number

x-9...first number

(x)+(4x)+(x-9)=141

x+4x+x-9=141

6x-9=141

Let's add 9 to both sides...

9+6x-9=141+9

6x=150

Let's divide both sides by 6...

(6x)/6=150/6

x=25

third number...25

second number...(4)(25)=100

first number...(25-9)=16

Let's check our work...

25+100+16=141

141=141

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Step-by-step explanation:

Here, the given equation is : y =\frac{4}{3} x + 5

Now,check the given equation for the given points.

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Substitute x = 6 in the given equationy =\frac{4}{3} x + 5

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Hence, the given point A (6,13) lies on the equation.

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Substitute x = 21 in the given equationy =\frac{4}{3} x + 5

y =\frac{4}{3} (21) + 5  = 4(7) + 5  = 28 + 5 =  33

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Hence, the given point  B(21,33) lies on the equation.

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Substitute x = 99 in the given equationy =\frac{4}{3} x + 5

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