If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?

₹0.0

Question: If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?

Options:

Correct Answer: 6 and 8

Solution:

The numbers are 3*2 and 4*2, which are 6 and 8.

If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?

If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?

Step 1: Understand that the ratio 3:4 means for every 3 parts of the first number, there are 4 parts of the second number.
Step 2: Let the first number be 3x and the second number be 4x, where x is a common multiplier.
Step 3: We know the H.C.F. (Highest Common Factor) of the two numbers is 2.
Step 4: Since the H.C.F. is 2, we can set x to be 2.
Step 5: Calculate the first number: 3 * 2 = 6.
Step 6: Calculate the second number: 4 * 2 = 8.
Step 7: Therefore, the two numbers are 6 and 8.

Ratio – Understanding the relationship between two quantities expressed as a fraction.
H.C.F. (Highest Common Factor) – The largest number that divides two or more numbers without leaving a remainder.
Proportionality – Using the H.C.F. to scale the ratio to find the actual numbers.