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Popular Word Problems >

Twice the difference of a number and 3 is 9.

Solution

Tw i ce t h e d i ff ere n ce o f a n u mb er an d 3 i s 9.

Solution

The number : 7 \frac{1}{2}

Solution steps

Represent the number with

x

A.T.Q.:

2 (x - 3) = 9

Solve for

x, 2 (x - 3) = 9 : x = \frac{15}{2}

Convert improper fractions to mixed numbers:

\frac{15}{2} = 7 \frac{1}{2}

The number : 7 \frac{1}{2}

Popular Examples

Six less than the product of 3 and a number is equal to 5.9 plus 6 times a number is 9 times the number Mary, who is sixteen years old, is four times as old as her brother. How old will Mary be when she is twice as old as her brother?Martin has 3,582 in an account that earns 5% interest compounded annually.To the nearest cent, how much will he have in 1 year?Lamar earned some money doing odd jobs last summer and put it in a savings account that earns 11% interest compounded continuously. After 1 year, there is 100.00 in the account. How much did Lamar earn doing odd jobs?