Question

four times the lesser of two consecutive even integers is 12 less than twice the greater number. find the integers

Answer 1

you just take it apart and write it down as you go:

"Four times.." so .....

4 x ( ? )

" ....the lesser of 2 consecutive even integers" you think .. ok 2 consecutive even integers have to be something and then something + 2, so choose a letter for the something, let's say s, so now we have "four times the lesser of two consecutive integers ....

4 x s ... or 4s for short, so ...

4s

" .... is 12 less than" .. something , which means to equal something you have to add 12 to it. so :

4s +12 = ?

"...twice the greater number" .... the greater number is s+2 like we said before so :


4s +12 = 2(s + 2)

Now simplify :

4s + 12 = 2s + 4

... subtract 2s from both sides, then subtract 12 from both sides:

2s = -8

... divide by 2:

s = -4

Answer 2

Thank you so much !! You made it so thorough so I could understand :D

Answer 3

Np :)