Two numbers are in the ration of 3:4. If their sum is 133. Find the numbers.​

57 and 76

Step-by-step explanation:

the ratio = 3 : 4

=> the sum : 3+4=7 ( equivalent with 133)

so the numbers are :

3/7 × 133 = 57 and

4/7 × 133 = 76.

The numbers are x = 57 and y = 76.

Step-by-step explanation:

Represent the numbers by x and y.  

         x       3

Then --- =

          y       4

Also, x + y = 133.  We can solve this for either x or y and substitute the result into the above equation.  Solving for y, we get 133 - x = y, and so the above equation becomes

   x           3

=

133 - x      4

Cross multiplying yields

4x = 399 - 3x, or 7x = 399, or x = 57.  Then, since y = 133 - x, y = 76.

The numbers are x = 57 and y = 76.

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