Answer:
The unknown number is 90
Step-by-step explanation:
This question requires a good understanding so as to interprets it well
And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better
So back to the question,let the unknown number be x
And two thirds of the unknown number is 2/3x
2/3x was decreased by 20 which can be written as 2/3x-20
And this decrease gives 40
That's,2/3x-20=40
Then go ahead to solve the question
Start by finding the LCM and the LCM is 3
2x-60/3=40
Cross multiply
2x-60=40×3
2x-60=120
Collect like terms by adding 60 to both sides
2x=180
Divide both sides by 2
x=90
Therefore the final answer is 90
<u>These 2 equations has </u><u>no solution</u><u> and the equations are </u><u>independent</u><u> </u><u>of each other.</u>
What is liner equation with two variable?
- An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
- For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
-10x² -10y² = -300 ----a
5x² + 5y² = 150 ---- b
While trying to solve this,
We can multiply the eq. b by 2 so we will get eq. c and then add to eq. a we will get 0 as the solution.
10x² + 10y² = 300 ----c
-10x² -10y² = -300 ---a
<u>Everything cutoff, we will </u><u>get 0</u><u>, and there is no solution to these equations.</u>
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Same tho but the answer is 18
-hope this helped-
<span>Triangle ABC being similar to triangle LMN by the AA similarlity postulate means that m<A = m<L; m<B = m<M; m<C = m<N. Let m<M = x, then 81 + x + 2x = 180; 3x = 180 - 81 = 99. x = 99 / 3 = 33. Therefore, m<M = 33 degrees.Hope this helps. Let me know if you need additional help!</span>
That's pretty cool you know.