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kakasveta [241]
3 years ago
6

Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by

2 centimeters. In 5 months, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Lan is 146 centimeters tall now.

<u><em>Explanation</em></u>

Let, Lan's current height is h centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = (h+6) centimeters and Jim's current height = (h-10) centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = h+(2*5)=(h+10) centimeters,

Lisa's height = (h+6)+(2*5)= (h+16) centimeters and

Jim's height = (h-10)+(2*5)= h centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146

So, the current height of Lan is 146 centimeters.

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