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Deepa and her mother's present age is 10 years and 34 years respectively.
Step-by-step explanation:
Let Deepa and her mother's present age be x and y respectively.
Given,
y = 3x + 4 ---- Eq 1
y + 6 = 2(x + 6) + 8 ----- Eq 2
Substituting Eq 1 in Eq 2,
(3x + 4) + 6 = 2(x + 6) + 8
=> 3x + 4 + 6 = 2x + 12 + 8
=> 3x - 2x = 12 + 8 - 4 - 6
=> x = 10
Substituting x = 10 in Eq 1,
y = 3(10) + 4
=> 30 + 4 = 34
Deepa and her mother's present age is 10 years and 34 years respectively..
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