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Lisa is 10 cm taller than her friend ian. Ian is 14 cm taller than jim. Every month, their heights increase by 2 cm. In 7 months, the sum of ian's and jim's height will be 170 cm more than lisa's height. How tall is ian now?

Respuesta :

Answer:  Ian's height = x+14 = 69+14 = 83 cm

Explanation :

Let the height of Jim be x

Let the  height of Ian be x+4

Let the height of Lisa be x+4+10=x+14

Since their heights increase by 2cm every months

so after 7 months ,

Jim's  height = x+14

Ian's  height= x+4+14=x+18

Lisa's  height= x+14+14=x+28

According to question,

Sum of Ian's and Jim's height = 170cm

[tex]x+18+x+14 = 170\\2x+32 =170\\2x =170-32\\2x = 138[/tex]

⇒x = [tex]\frac{138}{2}[/tex]

⇒ x= 69cm

∴ Ian's height = x+14 = 69+14 = 83 cm

Answer:

Ian is 194 cm tall now

Step-by-step explanation:

Let the height of Jim be x

Now we are given that Ian is 14 cm taller than jim.

So,height of Ian be x+14

Now we are given that Lisa is 10 cm taller than her friend ian.

So, height of Lisa be x+14+10=x+24

Since their heights increase by 2 cm every months

So after 7 months ,

Jim's  height = [tex]x+(7 \times2)=x+14[/tex]

Ian's  height=[tex]x+14+(7 \times2)=x+28[/tex]

Lisa's  height=[tex]x+24+(7 \times2)=x+38[/tex]

Now we are given that In 7 months, the sum of ian's and jim's height will be 170 cm more than lisa's height.

So, [tex]x+14+x+28=x+38+170[/tex]

[tex]x+42=208[/tex]

[tex]x=208-42[/tex]

[tex]x=166[/tex]

So, Ian's height = x+28 =166+28 = 194 cm

Hence  Ian is 194 cm tall now

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