Question 529334
x = Mrs. Sabado's age
d = her daughter's age
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x = 6d
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next year
x+1 = (d+1)^2
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substitute
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6d+1 = d^2 + 2d + 1
d^2 -4d = 0
d(d-4) = 0
d = 0 or 4
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d = 4 = daughter's age
x = 24 = Mrs. Sabado's age
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Check for next year.
d = 4+1 = 5
d^2 = 25
Which is how old Mrs. Sabado will be.
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Answer: Mrs. Sabado is 24 and her daughter is 4.
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Done.