Answer:
The number is:
Step-by-step 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
[tex]4.9+1.9x=x+94.6[/tex]
[tex]1.9x-x=94.6-4.9[/tex]
[tex]0.9x=89.7[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0.9x\cdot \:10=89.7\cdot \:10[/tex]
[tex]9x=897[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]
[tex]\frac{9x}{9}=\frac{897}{9}[/tex]
[tex]x=\frac{299}{3}[/tex]
[tex]x=99.67[/tex]
Therefore, the number is:
