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jabper5522
27.10.2019 •
Mathematics
The sum of two numbers is 580. the difference is 150. find the largest of the two numbers
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Ответ:
y=large number
x+y=580
y-x=150
y=580-x
(580-x)-x=150
-580 -580
-x-x=-430
-2x=-430
-2x/-2=-430/-2
x=215
215+y=580
-215 -215
y=365
FINAL ANSWER: The largest number is 365 and the small number is 215.
Ответ:
We can "translate" these statements into mathematical open phrases.
"The sum of two numbers is 580."
x + y = 580
"The difference is 150."
x - y = 150
So we have our two equations:
x + y = 580
x - y = 150
It is easy to see that we can use Elimination by Addition by adding the two equations together and solving for x.
2x = 730
Divide both sides by 2.
x = 365
Substitute 365 for x in the first equation.
365 + y = 580
Subtract 365 from both sides.
y = 215
Check.
365 + 215 = 580
580 = 580
365 - 215 = 150
150 = 150
So the larger number is 365 and the smaller number is 215. We are interested in the larger number, so the answer is 365.
Ответ:
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Step-by-step explanation: