If A=B/2=C/5, then A:B:C is. (a) 3:5:2. (b)2:5:3 (c)1:2:5 (d) none of these . Can you explain the answer

Question

Answer

Answer is none of these......i.e option D......because if consider a particular condition then the answer will come 2:1:1....maybe l am wrong...please check

Answer

Answer for sure is Option D cause the answer that is obtained after solving this problem comes to 1:1:5 which is not mentioned in any of the options.

Answer

Option - c
100 * 1/1 = 100 * 2 /2 = 100 * 5/5
gives 1 = 1 = 1

ans is 1:2:5

Answer

**Understanding the Problem:**

We are given that A = B/2 and A = C/5. We need to determine the ratio A:B:C.

**Solution:**

Let's start by substituting the value of A from the first equation into the second equation:

B/2 = C/5

To simplify the equation, we can cross-multiply:

5B = 2C

Now, we have two equations:

A = B/2

5B = 2C

**Finding the Ratio:**

To find the ratio A:B:C, we need to eliminate the variables and express the equations in terms of only A, B, and C.

We can multiply the first equation by 2 to eliminate the fraction:

2A = B

Now, we have three equations:

2A = B

5B = 2C

We can substitute the value of B from the first equation into the second equation:

5(2A) = 2C

10A = 2C

Dividing both sides of the equation by 2, we get:

5A = C

Now, we have three equations:

2A = B

10A = 2C

5A = C

**Expressing the Ratio:**

To express the ratio A:B:C, we need to find a common factor among the coefficients of A, B, and C. In this case, we can use 10 as the common factor.

Multiplying the first equation by 5, we get:

10A = 5B

Multiplying the second equation by 5, we get:

50A = 10C

Now, we have:

10A = 5B

50A = 10C

5A = C

The ratio A:B:C can be expressed as 10A:5B:10C.

Simplifying the ratio by dividing each term by 5, we get:

2A:B:2C

Since we know that 5A = C, we can substitute this into the ratio:

2A:B:5A

The ratio A:B:C is therefore 2:1:5.

Therefore, the correct answer is option (c) 1:2:5.

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