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Charlotte is 195 years younger than Rachel. 2 years later, Rachel will be thrice as old as Charlotte. Find their ages after 2 years. (Estimate the age to the nearest whole number).

Answer :

MRROYALGO

Charlotte is 96 years old and Rachel is 292 years old

How to determine their ages?

Let c represent Charlotte's age and r represents Rachels's age

From the question, we have:

c = r - 195

2 years later, we have:

r + 2 = 3(c + 2)

Expand the equation

r + 2 = 3c + 6

Subtract 2 from both sides

r = 3c + 4

Substitute r = 3c + 4 in c = r - 195

c = 3c + 4 - 195

Evaluate the like terms

-2c = -191

Divide by -2

c = 95.5

Approximate

c = 96

Substitute c = 96 in r = 3c + 4

r = 3*96 + 4

Evaluate

r = 292

Hence, Charlotte is 96 years old and Rachel is 292 years old

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