A and B are sisters born after the year 2010. If the sum of their ages will be 19 in the year 2025, What will be the age of A in 2030. It is known that in the year 2024 the ratio of their age is 7:10.

A and B are sisters born after the year 2010. If the sum of their ages will be 19 in the year 2025, What will be the age of A in 2030. It is known that in the year 2024 the ratio of their age is 7:10. Correct Answer 13

The sum of their ages in 2025 = 19 years The sum of their ages in 2024 = (sum in 2025) – 2 19 – 2 = 17 Ratio of ages of a and b in 2024 = 7:10 A / 7 = b / 10 10a = 7b A + b = 17 years 10 (a + b) = 17 * 10 (multiplying both sides by 10 10a + 10b = 170 7b + 10b = 170 17b = 170 B = 170 / 17 = 10 A = 7b / 10 = 7 * 10 / 10 = 7 years Age of a in 2024 = 7 Age of a in 2030 = 7 + 6 = 13
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