Two numbers are in the rates 15:6, when 2 is added to first and 3 is added to second, they are in the ratio 4.5) Find the numbers.
Answers
Answered by
0
Answer:
10 and 12
Step-by-step explanation:
Let the two numbers be 5x and 6x
on adding 2 in first and 3 in second number
5x + 2÷ 6x + 3 = 4/5
25x + 10 = 24x + 12
x=2
5x= 5×2=10
6x=6×2=12
hence the two numbers are 10 and 12
Answered by
2
Correct Question :
- Two numbers are in the ratio 5:6, when 2 is added to first and 3 is added to second, they are in the ratio 4:5 . Find the numbers.
Answer :
- The numbers are 10 and 12
Given :
- Two numbers are in the ratio 5:6 , when 2 is added to first and 3 is added to second , they are in the ratio 4:5
To find :
- The numbers
Solution :
Given,
- Two numbers are in the ratio 5 : 6 so,
- Let the first number be 5x
- Let the second number be 6x
According to Question Given That,
When 2 is added to first and 3 is added to second , they are in the ratio 4 : 5 so,
- 5x + 2 / 6x + 3 = 4/5
↬ 5x + 2 / 6x + 3 = 4/5
↬ 5(5x + 2) = 4(6x + 3)
↬ 25x + 10 = 24x = 12
↬ 25x - 24x = 10 - 12
↬ x = 2
To find the numbers :
↬ 5x
↬ 5(2)
↬ 10
↬ 6x
↬ 6(2)
↬ 12
Hence , The numbers are 10 and 12
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