Question

If 4.6 plus 1.9 times a number equals the sum of the number and 94.6, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.

Answer 1

The number is:

• x=99.67

Explanation:

Let 'x' be the number

• 4.6 plus 1.9 times a number 'x' = 4.6 + 1.9x

• Sum of number 'x' and 94.6 = x+94.6

Given that 4.6 plus 1.9 times a number equals the sum of the number and 94.6.

so the equation becomes

`4.9+1.9x=x+94.6`

`1.9x-x=94.6-4.9`

`0.9x=89.7`

`\mathrm{Multiply\:both\:sides\:by\:}10`

`0.9x\cdot \:10=89.7\cdot \:10`

`9x=897`

`\mathrm{Divide\:both\:sides\:by\:}9`

`(9x)/(9)=(897)/(9)`

`x=(299)/(3)`

`x=99.67`

Therefore, the number is:

• x=99.67