Birthdays 9011

Three sisters have birthdays today, and their ages are in the ratio of 2:3:4. In two years, their ages will be in the ratio of 5:7:9. Find what their ages will be in four years.

Correct answer:

p = 3:4:5

Step-by-step explanation:

a:b:c = 2:3:4 (a+2):(b+2):(c+2) = 5:7:9  a=2 x b=3 x c=4 x a+2=5 y b+2=7 y  a2x=0 b3x=0 c4x=0 a5y=2 b7y=2  Row4Row1Row4 a2x=0 b3x=0 c4x=0 2x5y=2 b7y=2  Row5Row2Row5 a2x=0 b3x=0 c4x=0 2x5y=2 3x7y=2  Pivot:Row4Row5 a2x=0 b3x=0 c4x=0 3x7y=2 2x5y=2  Row532 Row4Row5 a2x=0 b3x=0 c4x=0 3x7y=2 0.33333y=0.66667  y=0.333333330.66666667=2 x=32+7y=32+7 2=4 c=0+4x=0+4 4=16 b=0+3x=0+3 4=12 a=0+2x=0+2 4=8  a=8 b=12 c=16 x=4 y=2  p = (a+4):(b+4):(c+4)  p = (8+4):(12+4):(16+4) p = 12:16:20 p=3:4:5

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