The ratio of two number are 5:6. When 5 subtracted from both ratio become 4:5. Find the numbers
Answers
✬ Numbers = 25 & 30 ✬
Step-by-step explanation:
Given:
- Ratio of two numbers is 5:6.
- After subtracting 5 from both ratio becomes 4:5.
To Find:
- Find the two numbers ?
Solution: Let the two numbers be x and y respectively. Therefore,
➼ 1st number/2nd number = 5/6
➼ x/y = 5/6
➼ 6x = 5y
➼ x = 5y/6ㅤㅤㅤㅤㅤ(eqⁿ i )
A/q , subtracting 5 from both numbers.
- 1st number = (x – 5)
- 2nd number = (y – 5)
- New ratio = 4:5
(x – 5)/(y – 5) = 4/5
5(x – 5) = 4(y – 5)
5x – 25 = 4y – 20
5(5y/6) – 4y= – 20 + 25
25y/6 – 4y = 5
25y – 24y/6 = 5
y = 30
So one number is 30. Now put the value of y in eqⁿ i.
➬ x = 5 × 30/6
➬ x = 5 × 5
➬ x = 25
Hence, second number is 25.
Answer:
25and 30 are the required numbers.
Step-by-step explanation:
Given :-
Ratio of two numbers = 5 : 6
When 5 is subtracted from both, the ratio = 4 : 5
To find :-
The two numbers
Solution :-
Let the first number be x and second number be y.
ATP,
- x/y - 5 : 6
- x/y = 5/6
Cross multiply,
- x = 5y/6
ATP,
When 5 is subtracted from both the numbers, ratio = 4 : 5
- x - 5
- y - 5
ATP,
- (x - 5)/(y - 5) = 4/5
Cross multiply,
- 5x - 25 = 4y - 20
Substitute x = 5y/6 here,
- 5(5y/6) - 4y= - 20 + 25
- 25y - 24y/6 = 5
- y = 30
Hence, the numbers are,
- x (5y/6) = 25
- y = 30