Smart search for an unknown number


(1) If you subtract a number from three times that number, the result is 41. 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 100 €. How much € do I have in each pocket?

(3) The sum of a natural number and the next number is 155. Set up an equation and solve the problem.

(4) The sum of a number and its half is equal to 69. What is that number?

(5) Sophia asks Grace 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 Grace if he is older than 20 years?

(6) Double a number decreased by 6 is equal to 10. What is that number?

(7) A number plus double the previous number is equal to 29. What are those numbers?

(8) The sum of the fifth and sixth parts of a number is 35 mg less than its half. What is the recommended daily amount of cholesterol in mg?

(9) The perimeter of a triangle is 42 cm, and the sides are three consecutive numbers. What is the length of each side?

(10) Henry says to Emma: I have twice as many euros as you. If together they have 22 euros, how much does each have?

(11) The sum of three consecutive numbers is 54. What are those numbers?

(12) What number, increased by its half and its third, gives the sum 90?

(13) Charlotte is 8 years older than three times the age of Richard. If together they are 94 years old, how old is each?

(14) The sum of double a number and an additional 5 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 60 cm. What is the length of each side?

(16) Evelyn bought 3 notebooks, and each costs 16 kuna. If she paid a total of 95 kuna, how much change did she receive?

(17) What number multiplied by 4 and increased by 15 gives the result 50?

(18) James saved three times as much as Lucas. If together they saved 145 €, 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.

Share exercise: