Question

The sum of two numbers is 26. Four less than twice the smaller number is equal to the larger number x. Find the larger number.

Answer 1

To find the larger number, set up an equation using the given information and solve for x. The larger number is 26 - x.

Step-by-step explanation:

To find the larger number, we'll use algebraic equations.

Let's say the smaller number is x. The sum of the two numbers is 26, so the larger number is 26 - x.

According to the given information, four less than twice the smaller number, which is 2x - 4, is equal to the larger number x.

Setting up an equation, we have: 2x - 4 = 26 - x

Solving for x, we get x = 10

Therefore, the larger number is 26 - 10 = 16

Answer 2

Smaller number = 10 (y)

Larger number = 16 (x)

Step-by-step explanation

Check:

x+y=26

2y-4=x

16+10=26

2(10)-4=16

20-4=16

16=16