Answer:
The two numbers are:
30 and 18
Step-by-step explanation:
a + b = 48
a - b = 12
From the first eq.
a = 48 - b
Replacing this last value in the second eq.
(48 - b) - b = 12
48 - 2b = 12
48 - 12 = 2b
36 = 2b
36/2 = b
18 = b
from the first eq.
a + 18 = 48
a = 48 - 18
a = 30
Check:
from the second eq.
a - b = 12
30 - 18 = 12
Given:
The expression is

To find:
The expression which is not a correct way to rewrite the given expression.
Solution:
We have,

Using distributive property, we get


Using distributive property the given expression can rewritten as:

Only the expression in option A is not a correct way to rewrite the given expression because
is not distributed to
properly.
Therefore, the correct option is A.
First set up a proportion because they are similar triangles:
9/3x-20 = (72+9)/(56+3x-20)
9/3x-20 = 81/3x+36
9(3x+36) = 81(3x-20)
27x+324 = 243x-1620
1944 = 216x
x = 9
We can use trial or error method here...
If we take 4 table, 4*5 = 20 and 4*7 = 28. 20+28 = 48.
20 : 28 = 5 : 7
So, there are 20 boys and 28 girls in a school play and there are 8 girls more than boys.
If you look over tables and try it out, only 4 table works for the given ratio.