michelle13589 michelle13589
  • 07-10-2021
  • Mathematics
contestada

A number is 6 times another number and their sum is 28.what are the two numbers

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amieajeanty
amieajeanty amieajeanty
  • 07-10-2021

Answer:  Let the 2 numbers be x and  

sum of two numbers is 28....Eq 1:  x + y = 28

sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2:  6x + 3y = 105

Rearrange Eq 1 to solve for x.

x + y = 28

x = 28 - y  --> Substitute into Eq 2, you get

6(28 - y) + 3y = 105

168 - 6y + 3y = 105

-3y = -63

y = -63 / -3 = 21

Now solve for x using Eq 1.

x = 28 - y = 28 - 21 = 7

hope  it helped

Step-by-step explanation:

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