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?
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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
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Fist number is 10 more than second number
➝ x = y + 10. equation 3
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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
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put value of y in equation 2
➝ z = 4(20)
➝ z = 80
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Put value of y in equation 3
➝ x = (20) + 10
➝ x = 30
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ANSWER :
Numbers are 30 , 20 , 80
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Answer:
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