Question

Mo and Annie are each thinking of a number. 2/3of Mo's number is equal to 2/5 of Annie's number! The difference between their numbers is 72 What is the sum of their numbers?​

Answer 1

To solve the given equations, we can start by rearranging the first equation to solve for x:

(2/3)x = (2/5)y
Multiply both sides by 3/2 to isolate x:
x = (3/2)(2/5)y
x = (3/5)y

Now we can substitute this value of x into the second equation:
(3/5)y - y = 72
Multiply both sides by 5 to get rid of the fraction:
3y - 5y = 360
-2y = 360
Divide both sides by -2:
y = -180

Now we can substitute this value of y back into the first equation to find x:
x = (3/5)(-180)
x = -108

The sum of their numbers is x + y:
-108 + (-180) = -288

So, the sum of their numbers is -288.