SOLUTION: The following is known about three numbers: Twice the largest number plus the second largest
number plus three times the smallest number is 147. The sum of the second largest num
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Question 1115585: The following is known about three numbers: Twice the largest number plus the second largest
number plus three times the smallest number is 147. The sum of the second largest number and twice
the smallest number is 29 more than the largest number. The largest number is 15 less than twice
the second largest number. Find the three numbers.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let’s the largest number be , the second largest number , and the smallest number
given:
Twice the largest number plus the second largest number plus three times the smallest number is .
.....eq.1
The sum of the second largest number and twice the smallest number is more than the largest number.
.....eq.2
The largest number is less than twice the second largest number.
.....eq.3
to find the three numbers, solve the system:
.....eq.1
.....eq.2
.....eq.3
----------------------------
.....eq.1...substitute from eq.3
....eq.1a
substitute from eq.1a and from eq.3 in eq.2
.....eq.2
....multiply by 5
go to
....eq.1a , substitute
go to
.....eq.3 substitute
so, your numbers are: , , and
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