The difference
between two postive number
is 40 and the ratio of the integers is 1:3
Find the integers.
Answers
Answer:
x - y = 50 and x/y = 3/1 (x must be > y in order to get a positive sum.)
x/y = 3/1
cross multiply to get
x = 3y
In x - y =50 replace x with 3y
3y - y = 50
Combine like terms
2y = 50
Divide both sides by 2
y = 25
In x - y = 50 Replace y with 25.
x - 25 = 50
Add 25 to both sides
x = 75
Check:
75-25=50
75/25= 3/1
These integers are 75 and 25.
Have A Happy Day :-)
Since the ratio of the two integers is 1:3, then,
We let x and 3x be the integers.
To determine the integers, we get the difference of the two integers which is 50.
thus,
3x - x = 50
2x = 50
x = 25.
Substituting x by 25 from the the two integers x and 3x.
x = 25 and:
3x = 3(25) = 75
Therefore, the integers are 25 and 75.
Fully charged in 36 min - 65W SuperVOOC 2.0 in OPPO Reno4 Pro.
Let’s say the these 2 integers are x and y. If the ratio of x and y is 1:3, then we can determine that 3x=y. One way of looking at this is:
xy=13
Which can be simplified using the cross multiply method to:
3x=y
We know that the difference between x and y is 50, however we have to keep in mind that y>x , based on the fact that x is 1/3 of y, so the equation is:
y−x=50
Then we can substitute the value of y for 3x, giving us:
3x−x=50
After simplifying, we can solve for the value of x:
2x=50
x=25
Using our previous equation of 3x = y. we can substitute the value of x for 25 to get the value of y:
3∗(25)=y
75=y
We can then conclude that the two integers are 25, and 75.
The sum of three consecutive multiples of 11 is 363. What are these multiples?
The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?
A positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/10, what are the two integers?
Let the numbers be x and y.
x/y=1/3 (because the ratio of these integers is 1:3)
This implies that 3x=y
The difference the numbers
y-x(because y is the larger number)=50
Since y=3x
y-x=3x-x=2x
But y-x is equal to 50
This means 2x=50
x=25
y=3x=3*25=75
The numbers are 75 and 25
AI & VR ready 15’’ & 17’’ workstations for your remote employees.
As the ratio of the two numbers is 1:3; then it may be represented by (1/4)*x, and (3/4)*x respectively, and the difference as (1/2)*x (= (3/4)*x - (1/4)*x), where x is the sum of the above said two numbers (as the ratio is of two numbers only). By virtue of the difference of the two numbers as 50, we have (1/2)*x=100 or x=100.
Thus the two number are 25 and 75 respectively.
Let X and Y be the two numbers and Y be greater than X.
The difference of the Integers is
Y - X = 50 => Y = X + 50 -> Equation 1
The ratio of the Integers is ,
X/Y = 1/3 => 3X = Y -> Equation 2
Substituting the value of Y in Equation 2,
3X = X + 50
2X = 50
X =25
Substituting the value of X in Equation 2
Y - 25 = 50
Y = 75
Answer:
10, 30
Step-by-step explanation:
let the ratio be 3x and x
x+3x=40
4x=40
x=10
therefore, x=10
3x=30