Question

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

Answer 1

Answer: x+y=90;x=14+3y

71, 19

Explanation:

Answer 2

x= 71, y= 19.

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.