the difference between two numbers is divided by 2 and the result is 3. Find these two numbers, if triple the smaller number is 4 less than double the larger number
Answers
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Step-by-step explanation:
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Given:
the difference between two numbers is divided by 2 and the result is 3.
To Find:
Find these two numbers, if triple the smaller number is 4 less than double the larger number
Solution:
Let the two numbers be x and y such that x>y then it is given that triple the smaller number is 4 less than double the larger number which can be formulated as,
-(1)
And it is also given that the difference between two numbers is divided by 2 and the result is 3 which can be formulated as,
[tex]\frac{y-x}{2}=3\\ y-x=6\\ y=x+6[/tex]
So now we can substitute the value of y in equation 1 which will give us,
[tex]3x=2y-4\\ 3x=2(x+6)-4\\ 3x=2x+12-4\\ x=8[/tex]
So the value of x is 8 then the value of y will be,
y=x+6
=8+6
=14
Hence, the two numbers are 8 and 14.