The ratio between two numbers is 11 : 4. If the sum of these numbers is 65, what s is the product of the numbers
Answers
AnswEr:-
Product of numbers = 1100
Correct question:-
The ratio of two numbers is 11 : 4. If the sum of those numbers is 75 . What's the product of the numbers?
Given:-
- Ratio of numbers = 11 : 4
- Sum of numbers = 75
To find:-
- Product of numbers = ?
Solution:-
Let the numbers be 11y & 4y.
According to question:-
⇒ 11y + 4y = 75
⇒ 15y = 75
⇒ y = 75/15
⇒ y = 5
⋆ NUMBERS:-
↠ First number = 11y = 11(5) = 55
↠ Second number = 4y = 4(5) = 20
⋆ PRODUCT OF NUMBERS:-
↠ Product = 1st number × 2nd number
↠ Product = 11y × 4y
↠ Product = 44y²
↠ Product = 44 × 5²
↠ Product = 44 × 25
↠ Product = 1100
Therefore,
Product of numbers = 1100 .
Correct Question:
The ratio between two numbers is 11 : 4. If the sum of these numbers is 75, what is the product of the numbers.
Answer:
Let the Numbers be 11n & 4n respectively.
☯ Sum of Numbers :
↠ 11n + 4n = 75
↠ 15n = 75
- Dividing both term by
↠ n = 5
__________________
☯ Product of Numbers :
⇴ 11n × 4n
- putting the value of 5
⇴ 11(5) × 4(5)
⇴ 55 × 20
⇴ 1100
∴ Product of Numbers will be 1100.