Math, asked by eboneychey09, 1 month ago

The sum of 3 numbers is 130. The third number is 4 times the second. The first number is 10 more than the second. What are the numbers?

Answers

Answered by MagicalBeast
9

Given :

  • Sum of three numbers = 130
  • The third number is 4 times the second number
  • Fist number is 10 more than second number

To find :

The three numbers

Let :

  • First number = x
  • Second number = y
  • Third number = z

Solution :

According to question , sum of three numbers = 130

➝ x + y + z = 130 equation 1

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The third number is 4 times the second number

➝ z = 4y equation 2

________________________________

Fist number is 10 more than second number

➝ x = y + 10. equation 3

________________________________

Put value of x and z in equation 1

➝ ( y+10 ) + y + 4y = 130

➝ y + 10 + 5y = 130

➝ 6y = 130 - 10

➝ 6y = 120

➝ y = 120/6

y = 20

________________________________

put value of y in equation 2

➝ z = 4(20)

z = 80

________________________________

Put value of y in equation 3

➝ x = (20) + 10

x = 30

________________________________

ANSWER :

Numbers are 30 , 20 , 80

Answered by hanuhomecarepr72
2

Answer:

refer to the attachment

Step-by-step explanation:

hopefully it will work ☺️☺️

Attachments:
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