15 month ago the age of tuhin was 3times of sambit who is 6 months older than somika 5 months from now the age of tuhin was 2.5 times of somika what is the sum of theire age
Answers
Sum of their ages = 189 months = 15 Years 9 months
Step-by-step explanation:
Let say Somika current age = A months
Sambit who is 6 months older than Somika
Sambit current age = A + 6 months
Tuhin current Age = T months
15 month ago the age of tuhin was 3 times of sambit
=> T - 15 = 3(A + 6 - 15)
=> T - 15 = 3A - 27
=> T = 3A -12
5 months from now the age of tuhin was 2.5 times of somika
T + 5 = 2.5(A + 5)
=> T + 5 = 2.5A + 12.5
=> T = 2.5A + 7.5
3A -12 = 2.5A + 7.5
=> 0.5A = 19.5
=> A = 39
T = 3A - 12 = 3 * 39 - 12 = 105
Somika current age = 39 Months
Sambit current age = 45 months
Tuhin Current Age = 105 months
Sum of their ages = 39 + 45 + 105 = 189 months
= 15 Years 9 months
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