Question

-PLEASE HELP ME-

Lisa is 4 centimeters taller than her friend Ian. Ian is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of Ian's and Jim's heights will be 180 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.

Answer 1

Ian's height today is 184 cm

Explanation:

Let

x ----> the height of Lisa

h ----> the height of Ian

z ----> the height of Jim

we know that

`x=h+4`-----> equation A

`h=z+8` ----->
`z=h-8` ----> equation B

`(h+8)+(z+8)=(x+8)+180` ----> equation C

substitute equation A and equation B in equation C and solve for h

`(h+8)+(h-8+8)=(h+4+8)+180\\(h+8)+(h)=(h+12)+180\\2h+8=h+192\\2h-h=192-8\\h=184\ cm`

Find the value of x

`x=h+4`

`x=184+4=188\ cm`

Find the value of z

`z=h-8`

`z=184-8=176\ cm`

therefore

Ian's height today is 184 cm