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Two Numbers differ by 3 the sum of there reciprocal is 7 over 10 What are the numbers?
Wiki User
∙ 14y ago
Let the numbers be x and y such that x < y. So we can say that y = x + 3. Since the sum of their reciprocals is 7/10 we write:
1/x + 1/(x + 3) = 7/10 (multiply each term to both sides by the common denominator, 10x(x + 3))
10(x + 3) + 10x = 7x(x + 3)
10x + 30 + 10x = 7x2 + 21x (subtract 20x and 30 to both sides)
0 = 7x2 + x - 30
0 = (7x + 15)(x - 2)
7x + 15 = 0 or x - 2 = 0
x = -15/7 or x = 2
y = x + 3
y = -15/7 + 3 = (-15 + 21)/7 = 6/7
y = 2 + 3 = 5
The numbers are -15/7 and 6/7, or 2 and 5.
Wiki User
∙ 14y ago
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What is the reciprocal of 1 over 2?
the reciprocal of 1 over 2, is 2. reciprocal just means you flip the numbers over, in this case it leaves 2 over 1 which is the same as 2 divided by 1 which is 2. for example the reciprocal of 10 is 1 over 10 and the reciprocal over 1 over 7 is 7.
Can numbers have their own reciprocal?
Yes, numbers can have their own reciprocals. Whole numbers can be written as a fraction, like 4 as 4/1(four over one). Then, you would just flip it. It would become 1/4(one over four). You can do this with fractions.
How do you multiply hole numbers and fractions?
You simply put the whole number over one making it a fraction then you flip the reciprocal and divide the two fractions insted of multiplying.
How many numbers are in the whole world?
There are 10 numbers in the whole world 1,2,3,4,5,6,7,8,9,0 you use those numbers over and over again to make larger numbers.
What is the reciprocal of 7 over six?
the reciprocal of seven over six is six over seven because a reciprocal is a normal fraction flipped.
What is the reciprocal of 1 over 2?
the reciprocal of 1 over 2, is 2. reciprocal just means you flip the numbers over, in this case it leaves 2 over 1 which is the same as 2 divided by 1 which is 2. for example the reciprocal of 10 is 1 over 10 and the reciprocal over 1 over 7 is 7.
Can numbers have their own reciprocal?
Yes, numbers can have their own reciprocals. Whole numbers can be written as a fraction, like 4 as 4/1(four over one). Then, you would just flip it. It would become 1/4(one over four). You can do this with fractions.
What fractions or whole numbers are reciprocals?
The reciprocal of any whole number is one over that number, like 5 and 1/5
How do you multiply hole numbers and fractions?
You simply put the whole number over one making it a fraction then you flip the reciprocal and divide the two fractions insted of multiplying.
How many numbers are in the whole world?
There are 10 numbers in the whole world 1,2,3,4,5,6,7,8,9,0 you use those numbers over and over again to make larger numbers.
Why is number 1 superior over all numbers?
It is not superior over all numbers.
How many combinations of six numbers can be had from seven numbers?
The number of combinations of six numbers that can be made from seven numbers will depend on if you can repeat numbers. In all there are over 2,000 different numbers that can be made.
Which term of these sets of numbers is not a subset of the real numbers?
That term, over there!
Are there prime numbers over 100?
Sure, since there are INFINITELY MANY prime numbers, that means you will find prime numbers over any given number.
What set of numbers does -1 over 7 belong?
It belongs to the rational numbers which is a subset of the real numbers. The reals, in turn, is a subset of complex numbers.
Is 849670 prime or composite numbers?
849670 is a composite number. All even numbers over 2 are composite numbers.
How many numbers have an absolute value of 5 over 4?
Only two real numbers but infinitely many complex numbers.
