SOLUTION: separate the number 42 into three parts so that the second number is 9 more than the first number which is the same as the third number,
Algebra.Com
Question 299590: separate the number 42 into three parts so that the second number is 9 more than the first number which is the same as the third number,
Found 2 solutions by dabanfield, stanbon:
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
separate the number 42 into three parts so that the second number is 9 more than the first number which is the same as the third number,
Let x be the first and third numbers. The second number then is x+9 and we have:
x + (x+9) + x = 42
3x + 9 = 42
3x = 42-9
3x = 33
x = 11
The first and third numbers are x = 11 and the second number is x+9 = 11+9 = 20
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
separate the number 42 into three parts so that the second number is 9 more than the first number which is the same as the third number,
-----------
Equations:
x + y + z = 42
y = x + 9
x = z
----
Substitute for y and for z; then solve for "x"
---
x + (x+9) + x = 42
3x = 31
x = 131/3
---
y = (131/3) + 9
---
z = 131/3
=========================
Cheers,
Stan H.
RELATED QUESTIONS
Separate the number 50 into three parts so that the second number is twice the first... (answered by checkley79)
Separate the number 38 into three parts so that the second number is 2 less than the... (answered by ikleyn)
separate the number 78 into three parts so that the second part is twice the first part... (answered by stanbon,Earlsdon)
separate the number 56 into three parts so that each part is twice the preceding part. (answered by FrankM)
separate 24 into two parts in which one number is 8 times the... (answered by checkley77)
Separate 75 into two numbers so that the sum of the two numbers equals 75. Three times... (answered by JBarnum)
Three times a number increased by seven times another number is -50. Four more than the... (answered by josgarithmetic)
1.separate 46 into two parts so that one part is more than twice as much as the first... (answered by ewatrrr)
Separate 45 into 2 parts so that 5 times the smaller number is 6 less than 2 times the... (answered by lwsshak3)