If we add twice of a number to 4 times another number. It gives 50. And 2 times the first number added to 2 times the second number it gives 18.Then find the number?
Answers
Answer :-
This is a wordy way of giving a pair of simultaneous equations
We start in typical algebra way by saying let the first number be x and the second number be y. We can then write the two parts statements as
2x + 3y = 28
4x + 5y = 50
We can now DOUBLE the first statement THROUGHOUT
4x + 6y = 56
This leaves the number of xs the same in both. If we compare the two - which we do by taking away the second from the doubled first, we gey
y = 6
We can use this new information in one of the questions.
2x + 3 x 6 = 28 so 2x = 10, so x = 5
That gives values for botn, but never miss a chance to check your answer. Use the second eqaution to do this*
4 x 5 + 5 * 6 = 20 +30 = 50 - As we told it was. We have the right answer.
*Always check an answer, if you can, by doing something different to how you got the answer. Just repeating what you did before risks making the same mistake. The human mind, regradless of how good you are at maths, finds it hard to admit is was wrong, and doing exactly the ssame steps can often lead to making the same mistake.
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Answer:
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