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User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?

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Answer to a math question User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?

Expert avatar
Nash
4.9
85 Answers
We can solve this problem using algebraic equations. Let's denote the height of Lili as L.

We know that the average height of Aranka, Böske, Cili, Delinke, and Lili is 172 cm. This means that the sum of their heights is 5 * 172 = 860 cm.

We are also given that Aranka and Cili are both 172 cm tall. This means that their combined height is 2 * 172 = 344 cm.

We are told that the sum of Böske's and Delinke's heights is 336 cm.

Let's set up the equation:

B + D = 336

We need to express Böske's and Delinke's heights in terms of Lili's height. Since we know that Aranka and Cili are both 172 cm tall, the sum of their heights is 2 * 172 = 344 cm. So, the combined height of Böske, Delinke, and Lili is 860 - 344 = 516 cm.

We can write another equation based on this information:

B + D + L = 516

Now we can substitute the value of B + D from the first equation into the second equation:

336 + L = 516

Finally, we can solve for Lili's height:

L = 516 - 336 = 180 cm

Answer: Lili is 180 cm tall.

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