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Temka [501]
3 years ago
6

Given two consecutive even integers whose sum is 186, find the smaller of the two integers.

Mathematics
2 answers:
Bingel [31]3 years ago
7 0

Step-by-step explanation:

let,two even consecutive number be x and x+2

now,according to the question

x+x+2=186

or, 2x=186-2

or, 2x= 184

or, x= 184/2

:- x= 92

Hence,

x=92 and x+2= 94

two even consecutive numbers are 92 and 94

Daniel [21]3 years ago
3 0

Answer:

92 is the smaller even integer

Step-by-step explanation:

x = first even integer

x+2 = second even integer

(x) + (x+2) = 186

Combine like terms

2x+2 = 186

Subtract 2 from each side

2x+2-2 =186-2

2x = 184

Divide by 2

2x/2 = 184/2

x = 92

x+2 = 94

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A 6.5 meter long rope is cut into two pieces one piece is twice as long as other find the land of the long piece
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Answer:

4.333 meters

Step-by-step explanation:

Given:

We are told that the rope is cut into two pieces and that one (longer) piece is twice the length of the other (short) piece

let the length of the short piece  =  x meters

hence the length of the longer piece = 2x meters

we are also given that the total length of the two pieces is 6.5m

hence,

length of short piece + length of long piece = 6.5 m

in equation form:

x + 2x = 6.5

3x = 6.5  (divide both sides by 3)

x = 6.5/3 meters

we are asked to find the length of the long piece (i.e 2x)

hence

2x = 2 (6.5/3) = 4.333 meters (answer)

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Step-by-step explanation:

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