number analogies again, help?

Question

Ok, I tried these two but got them wrong, how do you get the answers?

The "-" means is to

number 1 : [16 - 5] as [22 - 7] as [7 - ?] how do you work it out, what is the pattern?

number 2 : [8 - 3] as [26 - 9] as [20 - ?] what is the pattern for this and the answer?

Answer 1

None of the above

Answer 2

Number 1:
16 - 5, 22 - 7, 7 - ?
(16-1)/5 =3
(22-1)/7 = 3
(7-1)/? = 3 then ? = 2

Number 2:
8 - 3, 26 - 9, 20 - ?
(8+1)/3 = 3
(26+1)/9 = 3
(20+1)/? = 3 then ? = 7

Answer 3

I found the terminology unusual.

I assume you mean

1 f(16)=5, f(22)=7 so find f(7)
f(x)=(x-1)/3 satisfies the requirements, so f(7)=2

How do we find f(x)?
Personally in this case I just did it by looking.
The answer is smaller, so I looked at division and subtraction, and I could just see that if you took 1 off 16 you got 15,and if you divided by 3 you got the 5.
I then tried the same thing on the 22, and it worked.
So then I did the same thing to the 7 to get the answer.

2 works in the same way.
Consider g(8)=3 and g(26)=9
8+1=9, and 9/3=3
so I take g(x)=(x+1)/3
test 26: g(26)=(26+1)/3=27/3=9
so it works.
now try the 20
g(20)=(20+1)/3=21/3=7

So the answer is 7

I never heard this called analogies though. We called it "functions", you could look this word up in a text book or encyclopedia. I checked the WIKIPEDIA and it's there under that name. So I guess that's the standard name though you might find something under "mappings" which is roughly the same thing.

Answer 4

solution for qn number 1:
the pattern is as follows
(16-1) / 3 = 5
(22-1) / 3 = 7
similarly, (7-1) / 3 = 2
thus, the answer is 2

solution for qn number 2:
the pattern is as follows
(8+1)/3 = 3
(26+1)/3 = 9
(20+1)/3 = 7
thus, the answer is 7

Answer 5

1.
16/5 - remainder 1
5/5 - remainder 1

22/7 - remainder 1
7/7 - remainder 1

so 7/3 - remainder 1
3/3 - remainder 1

hence number 1: [16-5] as [22-7] as [7-3].

=====
2.
8+1/3 - remainder 0
26+1/9 - remainder 0
so 20+1/7 - remainder 0

All are divisible by 3

hence number 2: [8-3] as [26-9] as [20-7].

thx

Answer 6

(16-1)/3=5
(22-1)/3=7
(7-1)/3= 2 , which is the first answer

(8+1)/3=3
(26+1)/3=9
(20+1)/3= 7 which is the second answer

Answer 7

You might want to use a different symbol beside "-" since you are trying to think mathematically here.

16/5 = 3r1
22/7 = 3r1
7/x = 3r1, x = 2

Said another way (to help you figure out the second analogy, since "remainder" won't work in the classic math sense, I want you to get the answer, but don't want to just give it to you...),
each pair is (3x+1):(x).

Analogies test your ability to see relationships between two objects (or concepts). Math ones are either easy or hard depending on your ability to reason concretely (its an exact relationship in comparison to things like human behavior) and basic arithematic skills.

Look a differences/sums, multiples/quotients, and powers first (you should be able to do these in your head (seriously)) and keep an eye out for a pattern in how it doesn't work out as much as if it does.

Hope that makes sense.

Answer 8

Pattern for number 1 is 3x + 1
So 7 = 3x + 1, solve for x

Pattern for number 2 is 3x - 1
So 20 = 3x - 1, solve for x

With questions like this, spotting the pattern is the most important thing. Try quite a few questions of this kind and if you are still struggling ask your teacher, that is what they are there for.

Answer 9

number 1: 2
16 = 5x3+1
22 = 7x3+1
7 = 2x3+1

number 2: 7
8 = 3x3-1
26 = 9x3-1
20 = 7x3-1

Answer 10

WOW! such clever people on here!
impressed