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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Let 'x' be Carol's age at present 'y' be her brother's age at present Two years from now: Let 'x+2' be Carol's age two years from now 'y+2' be her brother's age two years from now --------------------------- Carol is five times as old as her brother x = 5y ------equation 1 -------------------------- she will be three times as old as her brother in two years x + 2 = 3(y+2) ----equation 2 ------------------------ From equation 2: x+2= 3(y+2) x+2 = 3y + 6 x = 3y + 6 - 2 x = 3y + 4 -----equation 3 ----------------------- Substitute equation 3 to equation 1 x = 5y 3y + 4 = 5y 5y - 3y = 4 2y = 4 y = 2 --------------------- Substitute y=2 to equation 1 x = 5y x = 5(2) x = 10 --------------------- Therefore at present,Carol is 10 years old while her brother is 2 years old.