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the sum of two numbers is 123. when the larger number is added to 5 times the smaller, the sum is 343. find the numbers.​

Sagot :

angstar4
Create a system of equations
x + y = 123
5x + y = 343

I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55

Plug in
x + y = 123
55 + y = 123
y = 68

Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
234+657=985 62793)2799994)252888
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