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Luda [366]
3 years ago
5

The sum of two numbers is 8. When four times the smaller

Mathematics
2 answers:
Stolb23 [73]3 years ago
5 0

Answer:

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4

arsen [322]3 years ago
3 0

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller  number is added to two times the larger number, the result  is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

              4a + 2b = 18

<=> a = 1

     b = 7

=> the larger number is 7

Step-by-step explanation:

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\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{1st mixture}&5&0.4&\stackrel{(5)(0.4)}{2}\\ \textit{2nd mixture}&3&0.5&\stackrel{(3)(0.5)}{1.5}\\ \cline{2-4}&\\ mixed&8&p&3.5 \end{array} \\\\\\ 8p=3.5\implies p=\cfrac{3.5}{8}\implies p=0.4375\implies p=\stackrel{\%}{43.75}

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