Question

8-x:11-x::16-x:25-x find unknown​

Answer 1

Answer:

x = 4

Step-by-step explanation:

Since they are in proportion, product of means = product of extremes:

(8 - x)(25 - x) = (11 - x)(16 - x)

expand,

200 - 8x - 25x + x^2 = 176 - 11x - 16x + x^2

Cancel x^2 on both sides and simplify:

200 - 33x = 176 - 27x

200 - 176 = 33x - 27x

24 = 6x

x = 24/6 = 4

x = 4