Question

If 1.7 plus 1.9 times a number equals the sum of the number and 74.7, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.

Answer 1

81.11 in decimal

81 1/9 in fraction

Explanation:

Let the number be x

1.9 time a number is equal to 1.9x

1.7 plus 1.9 times a number is equal to 1.7 + 1.9x

Now given that

1.7 plus 1.9 times a number equals the sum of the number and 74.7

mathematically we have relation equation as

1.7 + 1.9x = x + 74.7

subtracting 1.7 from both side

1.7 + 1.9x - 1.7 = x + 74.7 - 1.7

=> 1.9x = x + 73

subtracting x from both side

1.9x - x = x + 73 - x

0.9x = 73

dividing both side by 0.9

0.9x/0.9 = 73/0.9

x = 81.11 or 81 1/9

Thus, the number is

81.11 in decimal

81 1/9 in fraction