The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?

Question

Mathematics

Lana

17 February, 21:56

The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?

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Answers (1)

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Arthur Murphy · Answer 1

S/M=3/4 = > 4S=3M ... (1)

(S+12) / (M+12) = 5/6 = > 6 (S+12) = 5 (M+12) ... (2)

3 (1) : 12S=9M

2 (2) : 12S+144=10M+120

2 (2) - 3 (1) = >

144=M+120 = > M=24

Solve for S = > S=3*M/4=18

Check: S+12=30, M+12=36 30/36=5/6 ok.

Mark's current age is 24