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nexus9112 [7]
4 years ago
8

114 = 3 (y + 18) what is the missing value

Mathematics
1 answer:
Serga [27]4 years ago
4 0

Answer:

y= 20

Step-by-step explanation:

114 = 3y + 54

114 - 54 = 3y

60 = 3y

y = 60 ÷ 3

y = 20

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Read 2 more answers
Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help
Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

x=y-8 ----> y=x+8 ----> equation A

xy=105 ----> equation B

substitute equation A in equation B

x(x+8)=105

x^2+8x-105=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+8x-105=0

so

a=1\\b=8\\c=-105

substitute in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}

x=\frac{-8(+/-)\sqrt{484}} {2}

x=\frac{-8(+/-)22} {2}

x=\frac{-8(+)22} {2}=7

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so

The solution is x=7

therefore

Marco's age is 7 years old

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4 years ago
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