Question

6. Two numbers are such that the ratio between them is 3:5. If each is increased by 5, the
ratio between the new numbers so formed is 2:3. Find the original numbers​

Answer 1

Step-by-step explanation:

let the two numbers be 3x and 5x

adding 5 to them gives ratio of 2 : 3

3x + 5 : 5x + 5 = 2 : 3

product of means = product of extremes

2 ( 5x + 5 ) = 3 ( 3x + 5 )

10x + 10 = 9x + 15

10x - 9x = 15 - 10

x = 5

so the original numbers are.....

3x = 3 × 5 = 15

5x = 5 × 5 = 25

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Answer 2

Answer:

15,25

Step-by-step explanation:

suppose,original numbers are 3x and 5x

according to question,

9x+5/5x+5=2/3

9x+15=10x+10

15-10=10x-9x

5=x

therefore, 3x=3×5=15 and 5x=5×5=25

ans:the original numbers are 15 and 25