JSCE Mathematics 2023 Theory — Question 12

Question 12 of 17 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2023 Theory paper, with the correct answer and a full explanation.

4(a) A friend asked me to think of a number, add 5 to it and then divide the sum by 20. The result is the same as subtracting 4 from the original number and dividing the difference by 15. Find the number.

Model answer

Let the number be x. (x + 5)/20 = (x − 4)/15 15(x + 5) = 20(x − 4) 15x + 75 = 20x − 80 155 = 5x, so x = 31.

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