The coefficient of x in the equation is 1/(300 grams). Multiply by the reciprocal of that, which is (300 grams).
x = (300 grams)×(2 grams)/(100 grams) = (300×2/100) grams = 6 grams
_____
This is the way you solve any equation where x is multiplied by some value in the only term on one side of the equal sign.
Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
<h2>727</h2>
Step-by-step explanation:
Let us denote the three digit number by 
, where 
is the hundreds digit, 
is the tens digit and 
is the ones digit.
Hundreds digit = = Ones digit =
Sum of digits = 
So, 
On exchanging tens and ones digit, value increases by 45. So 
is 45 greater than .
∴ Required number is 727
