Mathematics
Emacias44
16

the sum of two numbers is 580. the difference is 150. find the largest of the two numbers

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(2) Answers
Jodiex

x=small number 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.

nicole22

So, 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.

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