Question

Four times the larger of two consecutive even integers is ten less than the smaller
What is the larger of these two numbers

Answer 1

let the first even integer be x
then the next even integer is x+2
4(x+2) < x by 10
4x + 8 + 10 = x
3x = -18
x = -6

so the smaller is -6 and the larger is -4

check:
4 times the larger = -16
the smaller is -6
is -16 less than -6 by 10? YES