Average of age 3 men l, m and n is 48 years. another man o joins the group and the average becomes 44 years. if another man p whose age is 3 years more than that of o replaces l. then the average age of m, n, o and p becomes 43 years then the age of l is?
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Answer:
The age of L is 39.
Step-by-step explanation:
Step 1:
Average age of L, M and N = 48
T= 3
σ1= T x mean
= 3 x 48
= 144 age
Step 2:
Average age of L, M, N and O = 44
T=4
σ2= n x mean
= 4 x 44
= 176 age
Step 3:
→Age of O= σ2 - σ1
= 176-144
= 32 age
Step 4:
According to question,
Age of P= Age of O + 3
= 32+3
= 35 age
Step 5:
Average age of M, N, O and P(mean)= 43 age
T= 4
σ= n x mean
= 4 x 43
= 172 age
Step 6:
→ Age of M and N= σ - [Age of O +Age of P]
= 172 - (32+35)
= 172 - 67
= 105 age
Step 7:
→Age of L= σ1- Age of M and N
= 144 - 105
= 39 age
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