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-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.

Respuesta :

calculista

Answer:

Ian's height today is 184 cm

Step-by-step explanation:

Let

x ----> the height of Lisa

h ----> the height of Ian

z ----> the height of Jim

we 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 C

substitute 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]

therefore

Ian's height today is 184 cm

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