Respuesta :

Nicole is 36 years old

Answer:

Age of Nicole x= 24 years

Age of Donald = y = 48 years

Step-by-step explanation:

Suppose x represents Age of Nicole in years and y represents age of Donald in years

Sum of their ages is 72, therefore

[tex]x+y=72[/tex] -------------- (1)

Nicole is half as old as Donald

[tex]x= \frac{y}{2}[/tex]   ------------------ (2)

Substitute x=y/2 in equation (1)

[tex]\frac{y}{2} +y = 72 \\3y = 2(72) \\y = \frac{144}{3} \\y= 48 \ years[/tex]

Now put y=48 in equation (2)

[tex]x =\frac{48}{2} \\x=24[/tex]