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Answers to Readers' Questions on Algebra:
Linear Equation with One Variable
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Tough algebra problems
Question
September 27, 2009
these are some of my questions i read in class 8th cbse and have to do hard work in this board session so i need some help:-
1.if i add 10 to 4 times anumber, the result is five less than five times the number. what is my number?
2.what are 3 consecutive odd integers.the sum of 1st and last of these integers is 26.what are the integers?
that much some of my queries i'll ask you later as i take time.
Anshul - India
18394
Answer
Add 10 to 4 times a number = 4x + 10
Result is 5 less than 5 time number = 5x - 5
Thus 4x + 10 = 5x - 5
Subtract 4x from both sides and add 5 to both sides of the equation.
15 = x
The second problem is tricky. 2x is always an even number and 2x + 1 is odd.
Let 2x + 1 = first odd integer, 2x + 3 = second, 2x + 5 = third.
(2x + 1) + (2x + 5) = 26
4x + 6 + 26
4x = 20
x = 5
2x + 1 = 11, 2x + 3 = 13, 2x + 5 = 15.
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Answers to Readers' Questions on Algebra