Diane is 25 years older than her son Craig. The sum of their ages is 105. How old are Diane and Craig?

Let Craigs age = x

Therefore Dianes age = 25 + x ( since she's 25 years older)

Dianes + Craigs age = (25 + x) + x = 105 (They said both of their ages sums up to 105)

25 + 2x = 105

2x = 80

x = 40

Craigs age is 40 years old.

Dianes age is 65 years old.

40 and 65

Step-by-step explanation:

Craig is 40.

Diane is 65.

40+25=65.

Diane is 25 years older than Craig.

40+20=105

00

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180