The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?

Question

anonymous · Answer

A. 25 and 25B. 45 and 5C. 15 and 35 D. 40 and 10E. 20 and 30

anonymous · Answer

here is an example
Let the larger number be x and the smaller number be y

 the sum of two numbers is twenty-one
 x + y = 21
 y = 21 – x . . . . . . (1)

 twice the larger is 4 times the smaller number
 2x = 4y
 x = 2y . . . . . . . . .(2)

 Substitute (1) into (2),
 x = 2(21 – x)
 x = 42 – 2x
 x + 2x = 42
 3x = 42
 x = 14

 Substitute x = 14 into (1)
 y = 21 – 14
 y = 7

 Answer:
 x = 14, y = 7

anonymous · Answer

it makes sense but unfortunately 14 and 7 aren't part of the choices ):

amistre64 · Answer

if it makes sense .... then you should adapt the example to your own specific problem

anonymous · Answer

im trying

amistre64 · Answer

my idea would be to define the 2 numbers as:

n is one of the numbers
3n-10 is the other number simply by the definition of the problem

adding them has to be 50 so ...

n + 3n - 10 = 50

once you solve for n you can then define the numbers

anonymous · Answer

that's a good way to do it to... were not just going to give you the answer .. then there is no point for this site and u might be better of looking up the answer on google

anonymous · Answer

15 & 35, thanks i got it