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x-2 = sister's age 2 years ago x+2 = sister's age in 2 years

2/3(x-2) = boy's age 2 years ago 3/4(x+2) = boy's age in 2 years Since 4 years will be elapsed between 2 years ago and 2 years from now, (3x+6)/4 - (2x-4)/3 = 4 (3(3x+6) - 4(2x-4))/12 = 4 (9x+18-8x+16)/12 = 4 x+34 = 48 x=48-34 x=14