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Solve: x-40% of x=12....

Solve: `x-40%` of `x=12`.

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To solve the equation \( x - 40\% \text{ of } x = 12 \), we will follow these steps: ### Step 1: Write the equation The equation can be expressed as: \[ x - 0.4x = 12 \] ### Step 2: Combine like terms Combine \( x \) and \( -0.4x \): \[ (1 - 0.4)x = 12 \] This simplifies to: \[ 0.6x = 12 \] ### Step 3: Isolate \( x \) To isolate \( x \), divide both sides of the equation by 0.6: \[ x = \frac{12}{0.6} \] ### Step 4: Simplify the division To simplify \( \frac{12}{0.6} \), we can multiply the numerator and the denominator by 10 to eliminate the decimal: \[ x = \frac{12 \times 10}{0.6 \times 10} = \frac{120}{6} \] ### Step 5: Perform the division Now, divide 120 by 6: \[ x = 20 \] ### Final Answer Thus, the value of \( x \) is: \[ \boxed{20} \] ---
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ICSE-LINEAR EQUATIONS-EXERCISE 14B
  1. Solve: x-40% of x=12.

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  2. Three-sevenths of a number is 12. Find the number.

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  3. A number increased by 9 gives 43. Find the number.

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  4. A number diminished by 11 gives 57. Find the number.

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  5. Thrice a number increased by 6 equals 39. Find the number.

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  6. Three-fourths of a number exceeds its one-third by 15. Find the number...

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  7. A number when divided by 4 is reduced by 21. Find the number.

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  8. A number is as much greater than 36 as is less than 86. Find the numbe...

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  9. A number exceeds its four-sevenths by 18. Find the number.

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  10. A number exceeds 20% of itself by 40. Find the number.

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  11. If 10 be added to four times a certain number, the result is 5 less th...

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  12. One fourth of a number is increased by 7 and the result is multiplied ...

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  13. The sum of two consecutive odd numbers is 56. Find the numbers.

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  14. The sum of three consecutive even numbers is 48. Find the numbers.

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  15. One of the two numbers exceeds the other by 9. Four times the smaller ...

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  16. In a class of 40 pupils, the number of girls is three-fifths of the nu...

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  17. The length of a rectangular park is three times its breadth. If the pe...

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  18. Two equal sides of a triangle are each 5 metres less than twice the th...

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  19. Two supplementary angles differ by 44^(@). Find the angles.

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  20. The total cost of 3 tables and 2 chairs is Rs. 8745. If a table costs ...

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  21. The denominator of a fraction is 3 more than the numerator. If 2 is ad...

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