The ratio of two numbers is 3:5. if both numbers are increased by 5, their ratio becomes 2:3. find the number
Answers
Answered by
133
Given :
- Two numbers are in the ratio 3:5 .
- If both are increased by 5 , the ratio becomes 2:3 .
To Find :
- The numbers .
Solution :
Now ,
- If both are increased by 5 , the ratio becomes 2:3 .
A.T.Q :
Value of x is 5 .
Therefore :
So , The two numbers are 15 and 25 .
Answered by
75
Given :
- The ratio of two numbers is 3:5. if both numbers are increased by 5, their ratio becomes 2:3.
To Find :
- The numbers ?
Solution :
Put x in the ratio
Numbers = 3x , 5x
◕ Increased by 5,
- 3x + 5
- 5x + 5
According to question :
➙ 3x + 5/5x + 5 = 2/3
➙ 3 (3x + 5) = 2 (5x + 5)
➙ 9x + 15 = 10x + 10
➙ 10x - 9x = 15 - 10
➙ x = 5
Put the value of x in the ratio
- 3x = 3 × 5 = 15
- 5x = 5 × 5 = 25
∴ Hence, the numbers are 15 and 25 respectively.
Similar questions
Math,
2 months ago
Social Sciences,
2 months ago
Social Sciences,
2 months ago
Biology,
5 months ago
English,
5 months ago
Math,
11 months ago
Math,
11 months ago
Computer Science,
11 months ago