Mathematics: 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.

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Lisa is 6 centimeters taller than her friend ian.

Ответ:

drewje12

12.03.2022

Mathematics

Lan is 146 centimeters tall now.

Explanation

Let, Lan's current height is 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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