The sum of two numbers is 3. Five times the larger number plus four times the smaller number is 29. Find the numbers

let's have two numbers x (larger) and y (smaller). from the info above...

x + y = 3
5x + 4y = 29

so that means y=3 - x. we can sub this in
5x + 4(3-x) = 29
5x + 12 - 4x = 29
x = 17
then y=3-x=3-17=-14

so it's 17 and -14

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-01T13:56:07+01:00

The larger number is 17 and the smaller number is -14 and this can be determined by forming the linear equation in two variables.

Given :

The sum of two numbers is 3.
Five times the larger number plus four times the smaller number is 29.

Let the larger number be 'x' and the smaller number be 'y'. So, the linear equation that represents the sum of two numbers is given by:

x + y = 3

x = 3 - y --- (1)

The linear equation represents the situation that "five times the larger number plus four times the smaller number is 29" is given by:

5x + 4y = 29 --- (2)

Substitute the value of 'x' in equation (2).

5(3 - y) + 4y = 29

Simplify the above equation in order to determine the value of 'y'.

15 - 5y + 4y = 29

y = 15 - 29

y = -14

Now, substitute the value of 'y' in the equation (1).

x = 3 - (-14)

x = 17

So, the larger number is 17 and the smaller number is -14.

For more information, refer to the link given below:

https://brainly.com/question/21835898