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LCM of two numbers is 450. The GCF of the two numbers is 5. The two numbers add up to 55. What are the two numbers?
Wiki User
∙ 12y ago
For any two natural numbers a and b:
Product of a and b = LCM(a,b) x GCF(a,b)
Let one of the numbers be y, then other number = (55 - y)
So,
y(55 - y) = 450 x 5
55y - y2 = 2250
On solving the equation we get
y = 5/2(11 ± i(239)1/2)
where i = (-1)1/2
Solutions of the given equation are two complex numbers but according to question we need natural numbers. Since GCF and LCM are defined for natural numbers then there exists no value of y for which the given conditions are true.
Wiki User
∙ 12y ago
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The GCF of two numbers is 5. the LCM is 90 the numbers add up to 55 what are the 2 numbers?
45 and 10
The GCF of two numbers is 5 the LCM is 90 the two numbers add up to 55 what are the two numbers?
10 and 45. 10=5*2 10+45=55 45*2=90 45=5*9 10*9=90
How can knowing the GCF and LCM help you when you add subtract and multiply fractions?
Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.
How can knowing the GCF and LCM help you when you add subtract and multiply fraction?
Knowing the LCM of the denominators of unlike fractions will help you find the least common denominator, a necessary step in adding and subtracting them. Knowing the GCF of a numerator and denominator will tell you if the fraction can be reduced.
Why should you find a LCM?
Finding an LCM will help when you want to add and subtract fractions.
The gcf of two numbers is 5 the LCM is 450 the numbers add up to 55 what are the two numbers?
45 and 10
The gcf of two numbers is 5 The LCM is 450 The two numbers add up to 95 What are the two numbers?
50 and 45
The GCF of two numbers is 5 the LCM is 90 the numbers add up to 55 what are the numbers?
45 and 10
The GCF of two numbers is 5. the LCM is 90 the numbers add up to 55 what are the 2 numbers?
45 and 10
Why you need LCM and HCF in maths?
It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.
What problems can be solved using gcf and LCM?
Finding the LCM will make adding and subtracting fractions easier.
How do GCF and LCM involve with the real world?
Use the GCF to reduce fractions. Use the LCM to add and subtract unlike fractions. Carpenters work with fractions a lot.
What two numbers add up to 450?
There are infinitely many pairs of numbers that add up to 450. The set with the smallest difference is 225 and 225. Any set of numbers that are an equal distance lower and higher than 225 will add up to 450.225-37=198225+37=262198+262=450
The GCF of two numbers is 5 the LCM is 90 the two numbers add up to 55 what are the two numbers?
10 and 45. 10=5*2 10+45=55 45*2=90 45=5*9 10*9=90
When is it useful to find the LCM or GCF of two numbers to solve a problem?
When adding or subtracting fractions with different denominators and when reducing fractions to their lowest termsWhen adding or subtracting fractions with different denominators their lowest common multiple is needed and when reducing fractions to their lowest terms their greatest common factor is needed.
When is it useful to find the LCM or Greatest common factor in a problem?
Find the GCF when you want to simplify a fraction. Find an LCM when you want to add and subtract fractions.
How can knowing the GCF and LCM help you when you add subtract and multiply fractions?
Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.
