Smart search for an unknown number


(1) If you subtract a number from three times that number, the result is 37. What is that number?

(2) In one pocket, I have a certain amount of money, and in the other, I have double that amount. In total, I have 350 €. How much € do I have in each pocket?

(3) The sum of a natural number and the next number is 131. Set up an equation and solve the problem.

(4) The sum of a number and its half is equal to 42. What is that number?

(5) Mia asks Steve how old he is, and he replies: half of my age, plus a third, plus a quarter, plus a sixth of my age add up. How old is Steve if he is older than 14 years?

(6) Double a number decreased by 9 is equal to 29. What is that number?

(7) A number plus double the previous number is equal to 18. What are those numbers?

(8) The sum of the fifth and sixth parts of a number is 25 mg less than its half. What is the recommended daily amount of cholesterol in mg?

(9) The perimeter of a triangle is 48 cm, and the sides are three consecutive numbers. What is the length of each side?

(10) Henry says to Muhammad: I have twice as many euros as you. If together they have 40 euros, how much does each have?

(11) The sum of three consecutive numbers is 81. What are those numbers?

(12) What number, increased by its half and its third, gives the sum 65?

(13) Sara is 18 years older than three times the age of Robert. If together they are 46 years old, how old is each?

(14) The sum of double a number and an additional 11 is equal to triple that number. What is that number?

(15) A triangle has two equal sides and one side that is 5 cm shorter. The total perimeter of the triangle is 70 cm. What is the length of each side?

(16) Ava bought 8 notebooks, and each costs 15 kuna. If she paid a total of 140 kuna, how much change did she receive?

(17) What number multiplied by 4 and increased by 19 gives the result 85?

(18) James saved three times as much as Xavi. If together they saved 95 €, how much did each save?

Instructions:

Solving a Single-Variable Equation

This is an example of solving a simple linear equation step by step.

Problem:

\( 3x + 5 = 14 \)

Solution:

Step 1: Subtract 5 from both sides.

\( 3x + 5 - 5 = 14 - 5 \)

\( 3x = 9 \)

Step 2: Divide both sides by 3.

\( \frac{3x}{3} = \frac{9}{3} \)

Solution: \( x = 3 \)

Check: Substitute \(x = 3\) back into the original equation.

\( 3(3) + 5 = 9 + 5 = 14 \)

Since \( 14 = 14 \), the solution is correct.

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