Divide 105 in two parts such that 1 third of one part is equal to 1 forth of other part
No
Wrong answer correct answer is 45,60
Wrong answer
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To divide 105 into two parts such that one-third of one part is equal to one-fourth of the other part, we can use algebra to solve for the two parts. Let's assign variables to the two unknown parts:
Let's say one part is represented by 'x', and the other part is represented by '105 - x' since the total sum of the two parts is 105.
According to the problem, one-third of 'x' is equal to one-fourth of '105 - x'. We can set up the following equation:
(1/3) * x = (1/4) * (105 - x)
To solve this equation, we will first clear the fractions by multiplying both sides of the equation by 12:
12 * (1/3) * x = 12 * (1/4) * (105 - x)
4x = 3(105 - x)
Now, distribute the 3 on the right side of the equation:
4x = 315 - 3x
Combine like terms:
4x + 3x = 315
7x = 315
Divide both sides of the equation by 7:
x = 45
So one part is equal to 45, and the other part is equal to 105 - 45 = 60.
Therefore, the two parts are 45 and 60, respectively, when 105 is divided according to the given condition.
let the two number be x and y
then x+y = 105 ---> y = 105-x
x/3 = y/4
times 12
4x = 3y
4x = 3(105-x)
4x = 315 - 3x
7x=315
x = 45 , -----> y = 55