Respuesta :

We have two numbers that add to 42.... Call the larger number X and the smaller number Y X+Y = 42 We are told that Y is 12 less than X so Y = X-12 Substitute X-12 in place of Y in the original equation giving X + X -12 = 422X - 12 = 42Add 12 to both sides2X = 54Divide both sides by 2X = 27 Y = X-12 = 27 - 12 = 15 Our two numbers are 27, 15 

As per linear equation, two numbers are 14 and 32.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Given, the sum of two numbers is 46.

The smaller number is 18 less than the larger number.

Let, the smaller number is 'x'.

Therefore, the larger number is (x + 18).

Now, x + x + 18 = 46

⇒ 2x + 18 = 46

⇒ 2x = 28

⇒ x = 14

Therefore, the smaller number is 14.

Hence, the larger number is = (14 + 18) = 32.

Learn more about a linear equation here: https://brainly.com/question/38861

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