A mother is 33 years older than her twin children. In 3 years her age will be twice the combined ages of the twins. How old are the twins now?

9514 1404 393

  30

Step-by-step explanation:

Let m represent the mother's age in 3 years. At that point in time, her age is twice a twin's age, which is m-33:

  m = 2(m -33)

  m = 2m -66 . . . . eliminate parentheses

  66 = m . . . . . . . . add 66-m

In 3 years, the mother's age will be 66. Each twin is now 36 years younger.

The twins are 30 years old now.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2