Two numbers are in the ratio 3:4 .If 2 subtracted from each number , the ratio becomes 2:3 . find the number
Answers
Answer:
The two numbers are 30 and 40
Step-by-step explanation:
Let the rational between the two numvers be x
The ratio of two numbers is 3:4.
Thus the two numbers are 3x and 4x
If 5 is subtracted from each of the numbers the ratio becomes 5:7
After substraction of 5, the numbers will be 3x - 5 and 4x - 5. Their ratio
3x - 5 / 4x - 5 = 5 / 7
Solving the equation by cross multiplication
7 (3x - 5) = 5 (4x - 5)
21x - 35 = 20x - 25
21x - 20x = 35 - 25
x = 10
The rational is 10, hence the numbers are
Obe number 3x = 3 × 10 = 30
Second number 4x = 4 × 10 = 40
Thus, the two numbers are 30 and 40
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Answer:
The ratio of two numbers is 3:4.
Thus the two numbers are 3x and 4x
If 5 is subtracted from each of the numbers the ratio becomes 5:7
After substraction of 5, the numbers will be 3x - 5 and 4x - 5. Their ratio
3x - 5 / 4x - 5 = 5 / 7
Solving the equation by cross multiplication
7 (3x - 5) = 5 (4x - 5)
21x - 35 = 20x - 25
21x - 20x = 35 - 25
x = 10
The rational is 10, hence the numbers are
Obe number 3x = 3 × 10 = 30
Second number 4x = 4 × 10 = 40
Thus, the two numbers are 30 and 40
Step-by-step explanation:
The ratio of two numbers is 3:4.
Thus the two numbers are 3x and 4x
If 5 is subtracted from each of the numbers the ratio becomes 5:7
After substraction of 5, the numbers will be 3x - 5 and 4x - 5. Their ratio
3x - 5 / 4x - 5 = 5 / 7
Solving the equation by cross multiplication
7 (3x - 5) = 5 (4x - 5)
21x - 35 = 20x - 25
21x - 20x = 35 - 25
x = 10
The rational is 10, hence the numbers are
Obe number 3x = 3 × 10 = 30
Second number 4x = 4 × 10 = 40
Thus, the two numbers are 30 and 40