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This is what the statement means in mathematical form.

Let: y = age of Diana x = age of Antonio

x - 4 = 3 (y-4) x + 10 = 2 (y + 10)

x -4 = 3y - 12 - x+10 = 2y + 20 0 -14 = y - 32 -14 = y - 32 -14 + 32 = y 18 = y

x + 10 = 2y + 20 x = 2y + 20 -10 x = 2y + 10 x = 2(18) + 10 x = 36 + 10 x = 46

Antonio's present age is 46 years old. Diana's present age is 18 years old.

Check: 4 years ago, Antonio's age is 3 times the age of Diana. 46 - 4 = 18 - 4 42 = 14

42 is 3 times 14, Correct.

In 10 years, Antonio's age will be twice the age of Diana. 46 + 10 = 18 + 10 56 = 28 56 is twice of 28, Correct.