Q:

-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.

Accepted Solution

A:
Answer:Ian's height today is 184 cmStep-by-step explanation:Letx ----> the height of Lisah ----> the height of Ianz ----> the height of Jimwe know that[tex]x=h+4[/tex]-----> equation A[tex]h=z+8[/tex] -----> [tex]z=h-8[/tex] ----> equation B[tex](h+8)+(z+8)=(x+8)+180[/tex] ----> equation Csubstitute equation A and equation B in equation C and solve for h[tex](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[/tex]Find the value of x[tex]x=h+4[/tex][tex]x=184+4=188\ cm[/tex]Find the value of z[tex]z=h-8[/tex][tex]z=184-8=176\ cm[/tex]thereforeIan's height today is 184 cm