Answer:
A=2, B=3, C=5
Step-by-step explanation:
Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

Now, for the two polynomials to be the same we need to have, at the same time

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.
Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.
Answer: 8
Step-by-step explanation:
2x4
Answer:
<em>No</em><em>.</em><em> </em><em>of</em><em> </em><em>sweets</em><em> </em><em>=</em><em> </em><em>123</em><em> </em>
<em>No</em><em>.</em><em> </em><em>of</em><em> </em><em>children</em><em> </em><em>=</em><em> </em><em>7</em><em> </em>
<em>then</em>
<em>sweets</em><em> </em><em>per</em><em> </em><em>children</em><em> </em><em>=</em><em>123</em><em>/</em><em>7</em><em> </em><em>=</em><em>17</em><em>.</em><em> </em><em>57</em>
Answer: Paul will be 30 years old
Step-by-step explanation:Let the age of her sister be x, then from the given data
=> 4x = 20
=> x = 5 years
The age of her sister is 5 years
In the second case, paul is twice as old as his sister
=> Age of paul = 2(x)
=> Age of paul = 10 years
Paul will be 10 years old when he is twice as old as his sister