Question

Q18. If m:n=n : 0 = 6:5, find m:n: 0 A. 25 : 30:26 B. 36 : 30 : 25 C. 30:36 : 25 D. 6 : 25 : 75​

Answer 1

Answer:

option - B 36 : 30 : 25

Step-by-step explanation:

Given m : n = n : o = 6 : 5

m : n = 6 : 5 ×6

n : o = 5× 6 : 5

m : n = 36 : 30

n : o = 30 : 25

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m : n : o = 36 : 30 : 25

Answer 2

m : n : o = 36 : 30 : 25
Option (b) is the correct answer.

Given:

• m : n = 6 : 5
• n : o = 6 : 5

To find: m : n

Step by step explanation:

⇒ Basic concepts used:
   Any number should always be represented by the same ratio and if it not
  same we will try to make it same by following some arithmetic operations.

Step 1: m : n = 6 : 5       ;  n : o = 6 : 5
           Here in m:n the number 'n' is represented by 5 and in n:o the
           number 'n' is represented by 6.

Step 2: Now our second step will be to make the number 'n' on both the
            sides equal.
           We will try to make the number 'n' as a common factor that is
           divisible by both 5 and 6.
            m : n = (6 : 5) * 6  
           ⇒ m : n = 36 : 30
            n : o = (6 : 5) * 5
           ⇒ n : o = 30 : 25

Step 3: The ratio will be written as:
            m : n : o = 36 : 30 : 25     (Correct answer)

Option (b) is the correct answer.

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