Question

31. The ratio of two numbers is 9:41 from both numbers. Subtracting K the ratio is 5: 2. Adding k to the two numbers again gives a ratio of 7:41 what is the number of k:​

Answer 1

Let the two numbers be 3x and 4x.

Subtract 5 from each of these numbers. We get 3x-5 and 4x-5. From the given problem, the ratio of these new numbers is 5:7. Then,

3x−54x−5=57

Cross-mutiplying,

(3x−5)×7=(4x−5)×5

Multiplying 7 inside 3x-5 and 5 inside 4x-5,

21x−35=20x−25

⟹21x−20x=−25+35

⟹x=10

The required numbers are

3x = 3×10 = 30 and

4x = 4×10 = 40.