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Free_Kalibri [48]
3 years ago
12

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?
Mathematics
2 answers:
koban [17]3 years ago
5 0

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

x+18+x+14 = 170\\2x+32 =170\\2x =170-32\\2x = 138

⇒x = \frac{138}{2}

⇒ x= 69cm

∴ Ian's height = x+14 = 69+14 = 83 cm

leva [86]3 years ago
3 0

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 = x+(7 \times2)=x+14

Ian's  height=x+14+(7 \times2)=x+28

Lisa's  height=x+24+(7 \times2)=x+38

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, x+14+x+28=x+38+170

x+42=208

x=208-42

x=166

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

Hence  Ian is 194 cm tall now

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