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Lola is thinking of a number. If you multiply her number by 90 , add 8 , and. divide by 2 , you obtain 319 . What is Lola's number? Solve this problem by working bactwards. The number Lola is thinking of is

Ask by Deleon Patel. in the United States
Mar 09,2025

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Answer

Lola's number is 7.

Solution

1. The final operation given is that after dividing by \(2\) the result is \(319\). To undo this division, multiply \(319\) by \(2\): \[ 319 \times 2 = 638 \] 2. Before dividing by \(2\), the expression was \(90x + 8\). Therefore, we have: \[ 90x + 8 = 638 \] 3. To undo the addition of \(8\), subtract \(8\) from \(638\): \[ 638 - 8 = 630 \] 4. Now, you have: \[ 90x = 630 \] To solve for \(x\), divide both sides by \(90\): \[ x = \frac{630}{90} = 7 \] The number Lola is thinking of is \(7\).

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First, let's work our way backwards! Start with 319 and multiply it by 2 to undo the division: \( 319 \times 2 = 638 \). Next, subtract 8 from 638 to reverse the addition: \( 638 - 8 = 630 \). Finally, divide 630 by 90 to find Lola's number: \( 630 \div 90 = 7 \). So, Lola's number is 7! This clever approach of working backwards is not only useful for solving equations but also for understanding logic puzzles and riddles. By reversing the operations step by step, you can unearth the solution in a systematic way, making it a fun challenge! If you ever find yourself unsure about how to unravel a problem, it can be super helpful to list out all your operations in reverse order. This can not only clarify your thinking but also often leads you to the answer more quickly. Just remember to keep your operations neat and double-check each step, as small errors can sometimes lead you astray!

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