Question

The sum of two numbers is 76. Thelarger number is 16 more than 2 times the smaller number. Find the numbers.x + y = 76; x = 16 + 2yNow use the equations to provide the answers for the numbers. X is the larger number and y is the smaller number.x = [?], y = [?]

Answer 1

Step-by-step explanation

Given information

The sum of the two numbers is 76

The larger number is 16 more than 2 times the smaller number

Let the two numbers be x and y

x ----> Larger number

y ----> smaller number

To find the value of x and y, follow the steps the below

Step 1: Write the algebraic expressions for the statement given

The sum of the two numbers is 72

Mathematically, this can be expressed as

`\text{ x + y = 72 ----------- equation 1}`

Also, the larger number is 16 more than twice