The sum of two numbers is 57. If the larger of the two numbers is 9 less than twice the smaller, find the two numbers.?
![]() |
The sum of two numbers is 57. If the larger of the two numbers is 9 less than twice the smaller, find the two numbers.?
Let the two numbers be a and b, where a is the larger number.
Their sum is 57. So, we get:
a + b = 57
The second statement says that a is 9 less than b, when b is multiplied by two... that means that b is larger than a when it is doubled.
We get:
a + 9 = 2b
Meaning that only when you add 9 to a that those two results become the same.
Now, you have two equations and two unknowns. Solve for a and b using simultaneous equations.
a + b = 57
a + 9 = 2b
All times are GMT -7. The time now is 06:57 AM. |