So,
x + y = 117
y = x + 1
x + x + 1 = 117
Collect Like Terms
2x + 1 = 117
Subtract 1 from both sides
2x = 116
Divide both sides by 2
x = 58
y = x + 1
y = 58 + 1
y = 59
The 2 consecutive integers are 58 and 59.
The answer is 93.6
156x .6 = 93.6
check the picture below.
so, when we have a line from a 90° angle running perpendicular to the opposite side, like in this case, we end up with three similar triangles, a large one containing the other two, a medium and a small one.
now, using the sides proportions as you see there, of the small and large one, we get that much.