The ratio of the current ages of Momen and his brother is 15:14. The ratio of the ages of Momen and his sister in 6 years will be 18:19. The gap between Momens age and his sister is the same as the gap between Momens age and his brother. What is Momens current age?

Let the current ages of Momen, his brother, and his sister be 15x, 14x, and S respectively. Since the age gap between Momen and his sister is the same as the gap between Momen and his brother, S is 15x + (15x - 14x) = 16x. In 6 years, the ratio of Momen's age to his sister's age will be 18:19, so (15x + 6) divided by (16x + 6) equals 18/19. Solving this equation yields 285x + 114 = 288x + 108, which means 3x = 6 and x = 2. Momen's current age is 15 times 2, resulting in an age of 30.

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