1.

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Answer»

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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