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Popular Word Problems >

74 more than six times a number is 23 less than the product of the same number and 11

Solution

74 m ore t han s i x t im es a n u mb er i s 23 l ess t han t h e p ro d u c t o f t h e s am e n u mb er an d 11

Solution

The number : 19 \frac{2}{5}

Solution steps

Represent the number with

x

A.T.Q.:

74 + 6 x = x \cdot 11 - 23

Solve for

x, 74 + 6 x = x \cdot 11 - 23 : x = \frac{97}{5}

Convert improper fractions to mixed numbers:

\frac{97}{5} = 19 \frac{2}{5}

The number : 19 \frac{2}{5}

Popular Examples

the sum of twice a number and five is 11 determined the number The product of a number decreased by 5 and the same number increased by 2 is 8. Find all numbers that satisfy this condition.The sum of the reciprocal of a number and 3/4 is 13/12 . Find the number 3789 decreased by 2570 is what number Three more than a number is sixty.