73.7k views
2 votes
The sum of two numbers is 90. The larger

number is 14 more than 3 times the smaller
number. Find the numbers.

User Headsvk
by
8.0k points

2 Answers

4 votes

Answer:


19\text{ and }71

Explanation:

Let the smaller number be
x. The larger number can be represented by
3x+14

Solving, we get:


x+3x+14=90,\\4x+14=90,\\4x=76,\\x=\boxed{19}

The larger number is therefore
90-19=\boxed{71}

User Eugene Kuleshov
by
7.9k points
0 votes

Answer:

The numbers are 19 and 71.

Explanation:

Let x and y represent the two numbers. Then x + y = 90.

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

User Lukiller
by
8.1k 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