when three-sevenths of a number is decreased by 1 the result is 5 find the number

Question

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Answer 1

Let N represent the number.

3N/7 represents three sevenths of the number.

3N/7 - 1 decreases three sevenths of the number by 1.

3N/7 - 1 = 5 (The result is 5. Now solve for N.)

3N/7 = 6 (add 5 to both sides)

N = 6(7/3) (multiply both sides by the reciprocal of the coefficient of N)

N = 14