Answer:
72/100
Step-by-step explanation:
Answer:
Let's define the variables:
M = mother's age
D = daughter's age.
"a mother is twice as old as her daughter"
This can be written as:
M = 2*D
"5 years from now she will be thrice as old as her daughter"
(M + 5) = 3*D
We want to know how old is the mother five years from now.
First, our equations are:
M = 2*D
(M + 5) = 3*D
First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.
Let's isolate D in the first equation:
M/2 = D
Now we can replace this in the other equation:
Now we can replace this on the other equation:
(M + 5) = 3*(M/2)
M + 5 - (3/2)*M = 0
-(1/2)*M + 5 = 0
5 = (1/2)*M
2*5 = M = 10
So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)
and 5 years from now, the mother will be:
10 + 5 = 15 years old.
Answer:
9 and 40
21 and 40
Step-by-step explanation:
I just did the test on edg. 2020
Factors of 9:
1,3,9
Factors of 15:
1,3,5,15
Factors of 21:
1,3,7,21
Factors of 40:
1,2,4,5,8,10,20,40
We have to find the pairs of numbers which are relatively prime.
Relatively prime number: The numbers in which gcd 1 are called relative prime numbers.
a.9 and 15
GCD(9,15)=3
9 and 15 are not relatively prime.
b.9 and 40
GCD(9,40)=1
Hence, 9 and 40 are relatively prime.
c.9 and 21
GCD(9,21)=3
9 and 21 are not relatively prime.
d.15 and 21
GCD(15,21)=3
15 and 21 are not relatively prime.
e.21 and 40
GCD(21,40)=1
21 and 40 are relatively prime.
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