Find two numbers if their sum is 91 and their ratio is 6:7

5 answers

Let the two numbers be 6x and 7x.

Their sum is 6x + 7x = 91.
Combining like terms, we get 13x = 91.
Dividing both sides of the equation by 13, we get x = 91/13 = 7.

Therefore, the two numbers are 6(7) = 42 and 7(7) = 49.
20 minutes to 2 hours in ratio form
To express the ratio of 20 minutes to 2 hours, we first need to convert both units to the same form. Since there are 60 minutes in 1 hour, we can convert the 2 hours into minutes:

2 hours = 2 * 60 minutes = 120 minutes

Therefore, the ratio of 20 minutes to 2 hours is 20:120, which can be simplified to 1:6 by dividing both numbers by their greatest common divisor, which is 20.
Find two numbers if their difference is 16 and their ratio is 5:7
Let the two numbers be 5x and 7x.

Their difference is 7x - 5x = 16.
Combining like terms, we get 2x = 16.
Dividing both sides of the equation by 2, we get x = 8.

Therefore, the two numbers are 5(8) = 40 and 7(8) = 56.