Given:
The two numbers are
![A=23\times 3\times 5](https://tex.z-dn.net/?f=A%3D23%5Ctimes%203%5Ctimes%205)
![B=22\times 3\times 52](https://tex.z-dn.net/?f=B%3D22%5Ctimes%203%5Ctimes%2052)
To find:
The highest common factor (HCF) of A and B
Solution:
We have,
...(i)
![B=22\times 3\times 52](https://tex.z-dn.net/?f=B%3D22%5Ctimes%203%5Ctimes%2052)
All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,
![HCF(A,B) = 3](https://tex.z-dn.net/?f=HCF%28A%2CB%29%20%3D%203)
Therefore, the highest common factor (HCF) of A and B is 3.
Answer: Maria's age = 12
Father's age = 36
Step-by-step explanation:
Let Maria's age be p and her father's age be q
Then, we form equation from the question:
Father's age (q) = 3 x p
Therefore, q = 3p ......equation 1
Six years ago,
q - 6 = 5 (p - 6)
q - 6 = 5p - 30
q - 5p = -30 + 6
q - 5p = -24 ..........equation 2
Insert the value of q= 3p into equation 2
3p - 5p = -24
-2p = -24
Divide both sides by -2
p = -24/-2
p = 12
If Maria"s age is 12, then Father's age(q) = 3p will be 3 x 12= 36
Answer:
3rd option is correct
.........................................
Answer:
c. x = 8
Step-by-step explanation:
Answer: they are nice understanding
Step-by-step explanation: