Spencer is 32 years younger than Jennifer. 3 years ago, Jennifer’s age was 3 times Spencer’s age. How old is Spencer now?

Mathematics

1 answer:

natali 33 [55]1 year ago

6 0

Answer:

Step-by-step explanation:

The sentences 'Spencer is 32 years younger than Jennifer' can be modeled by x = y-32 (x representing spencer's age and y representing Jennifer's). The sentence '3 years ago, Jennifer's age was 3 times Spencer's age' can be modeled by the equation x-3 = 1/3(y-3). Solving the second equation for y gives you y = 3x-6. Substitute into the first equation to get x = (3x - 6) - 32. Solve for x, which represents Spencer's age, to get x = 17

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