Question

question 1 find two consecutive even numbers such that the sum of the smaller number and twice the larger number is 70A.) 10 and 30B.) 16 and 27C.) 20 and 22D.) 22 and 24

Answer 1

hello

to solve this problem, let's represent the first consecutive number with x and the second with x + 2

from the information on the question, we can set out an equation here

`\begin{gathered} x\text{ +2}*(x+2)=70 \\ 2x+2x+2=70 \\ 4x+2=70 \end{gathered}`

let's solve this equation

step 1

collect like terms

`\begin{gathered} 6x+4=70 \\ 6x=70-4 \\ 6x=66 \end{gathered}`

step two

divide both sides by the coefficient of x