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andrezito [222]
3 years ago
6

Three times the smaller of two consecutive EVEN integers IS four less than twice the larger. What are the two integers?

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0
Set up:

x and x + 2 are the two consecutive even integers.

Here, x is the smaller integer and
(x + 2) the bigger integer.

The equation is 3x = 2(x + 2) - 4.

Can you take it from here?
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I have 31 stamps in total. I have 4 more 1 cent stamps than 8 cent stamps and twice as many one cent stamps as 12 cent stamps. I
Neko [114]

Answer:

There area 14 one cent stamps

Step-by-step explanation:

Let

x -----> the number of 1 cent stamps

y -----> the number of 8 cent stamps

z -----> the number of 12 cent stamps

we know that

0.01x+0.08y+0.12z=1.78 -------> equation A

x=y+4 ------> y=x-4 -----> equation B

x=2z -----> z=0.5x ------> equation C

substitute equation B and equation C in equation A and solve for x

0.01x+0.08(x-4)+0.12(0.5x)=1.78

0.01x+0.08x-0.32+0.06x=1.78

0.15x=1.78 +0.32

0.15x=2.10

x=14

therefore

There area 14 one cent stamps

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