146k views
4 votes
The total of two numbers is 28. Four times the smaller number is 7 more than three times the larger number.

smaller number=?

larger number=?

User Artin
by
8.1k points

2 Answers

7 votes

Answer:

13, 15

Explanation:

i did this for rsm and also other dude was correct and i didn't copy

User Ragnor
by
7.0k points
5 votes
Let the two numbers be represented by x and y, x being smallest.
.. x + y = 28 . . . . . . the total is 28
.. 4x = 7 + 3y . . . . . 4 times the smallest is 7 more than 3 times the largest

Subtract the second equation from 4 times the first to eliminate x.
.. 4(x +y) -(4x) = 4(28) -(7+3y)
.. 4y = 105 -3y . . . . . . . . . . . . . . simplify. Notice x is gone.
.. 7y = 105 . . . . . . . . . . . . . . . . . add 3y
.. y = 15 . . . . . . . . . . . . . . . . . . . divide by 7

.. x = 28 -y = 13

Smaller number = 13
Larger number = 15
User Theyetiman
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories