sum of two number is 80and thrice of the difference of those two numbers is 20 more than the larger number
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CORRECT QUESTION:-
Sum of two number is 80 and thrice of the difference of those two numbers is 20 more than the larger number.Find the numbers
EXPLANATION:-
Let the 2 numbers be x and y and the larger number is x and smaller is y
Sum of the numbers=80
x+y=80--------equation no. 1
Difference of the numbers is is 20 more than the larger number:-
3(x-y)=x+20-----equation no-2
Now let's find the value of x and y:-
x+y=80
x=80-y
Substitute x=80-y into 3(x-y)=x+20
3(80−2y)=100−y
240-6y=100-y
240-100=-y+6y
140=5y
y=28
So the value of is 28
Substitute y=28 in equation no-1
x+y=80
x+28=80
x=52
So the numbers are 52 and 28
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