Ben is 169cm tall. nicholas is y cm taller than Ben. Lee's height is hald of the total heigth of ben and Nicolas. a. Express Lee's height in terms of y. Total h

Ben = 169 cm
Nicholas is y cm taller than Ben:
Nicholas = 169 cm + y cm
               = (169 + y) cm

a)
Total height of Ben and Nicholas:
169 cm + (169 + y) cm
= (169 + 169 + y) cm
= (338 + y) cm

Lee's height is half of the total height of Ben and Nicholas:
Lee's height in terms of y:
(338 + y) cm ÷ 2
= ([tex] \frac{338}{2}+ \frac{y}{2} [/tex]) cm
= (169 + [tex] \frac{y}{2} [/tex]) cm

b)
If Nicholas is 6 cm taller than Ben → y = 6 cm
Lee's height:
(169 + [tex] \frac{y}{2} [/tex]) cm
= (169 + [tex] \frac{6}{2} [/tex]) cm
= (169 + 3) cm
= 172 cm