SOLUTION: question: the sum of three numbers is 161. The seond nnumber is 7 more than the first number, and the thrid number is 5 times the first number. find the three numbers?
the steps
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Question 803865: question: the sum of three numbers is 161. The seond nnumber is 7 more than the first number, and the thrid number is 5 times the first number. find the three numbers?
the steps i took to begin this problem was substitue the wording for the first, second and third with x,y,z. and wrote x + y+ z = 161, then i wrote y = 7 + x for "the second # is 7 more than the first # "; and z = 5x for " the third # is 5 times the first #". after that i am stuck on how to finish and solve the problem. am i on the right track to start?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
question: the sum of three numbers is 161. The seond nnumber is 7 more than the first number, and the thrid number is 5 times the first number. find the three numbers?
the steps i took to begin this problem was substitue the wording for the first, second and third with x,y,z. and wrote x + y+ z = 161, then i wrote y = 7 + x for "the second # is 7 more than the first # "; and z = 5x for " the third # is 5 times the first #". after that i am stuck on how to finish and solve the problem.
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x + y +z = 161
Substitute for "y" and for "z" and solve for "x"::
x + x+7 + 5x = 161
7x = 154
x = 22
---
Then solve for "y":::
y = x+7 = 29
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Finally, solve for "z":::
============================
z = 5x = 110
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Cheers,
Stan H.
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