The sum of two numbers is 90. The larger

number is 14 more than 3 times the smaller

number. Find the numbers.

First complete the equations below, where x stands for

the larger number and y stands for the smaller number

x + y = [?]; x = [ ] + [ ]y

x = 71, y = 19.

Step-by-step explanation:

To solve this, we will need to set up an algebraic equation. Since y is the smaller number, we can think of x in terms of y:

x = 3y+14

We can substitute this in the equation to get:

90 = y+3y+14.

Simplifying this will give us:

76 = 4y.

When solved, we get the value of y (the smaller number) to be 19.

To solve for x, we must plug this into the equation giving us:

x = 3 (19) + 14

x = 71.