John is twice as old as his sister Jane. Four years ago, John was three times as old as Jane. What is John’s current age?

x − J an e 2 x − J o hn x − 4 − J an e ( 4 ye a rs a g o ) 2 x − 4 − J o hn ( 4 ye a rs a g o ) 2 x − 4 = 3 ( x − 4 ) 2 x − 4 = 3 x − 12 / + 4 2 x − 4 + 4 = 3 x − 12 + 4 2 x = 3 x − 8 / − 3 x 2 x − 3 x = 3 x − 3 x − 8 − x = − 8 / ⋅ ( − 1 ) x = 8 2 x = 2 ⋅ 8 = 16 A n s w er : J o h n ′ s c u rre n t a g e i s 16 ye a rs .

Answered by Anonymous | 2024-06-10

Jane is currently 8 years old, so John, being twice her age, is 16 years old. This was determined by setting up equations based on their ages. The calculations show that John's age is 16 years.
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Answered by Anonymous | 2024-12-23