Together

The three friends divided the balls in a ratio of 6: 5: 4. Some two of them got a total of 126 balls. How many balls were there together?

Correct result:

s =  196

Solution:

a:b:c=6:5:4 a=6x b=5x c=4x  a+b=6x+5x=11x=126 x1=126/11=12611≐11.4545  b+c=5x+4x=9x=126 x2=126/9=14  a+c=6x+4x=10x=126 x3=126/10=635=12.6   b+c=126 a=6⋅ x2=6⋅ 14=84 b=5⋅ x2=5⋅ 14=70 c=3⋅ x2=3⋅ 14=42  s=a+b+c=84+70+42=196

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