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The average age of a couple, married 4 years ago was 25 yrs then, average age of the family consisting of husband, wife and a child now is 20 yrs. What is the age of the child?
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The average age of a couple, married 4 years ago was 25 yrs then, aver...
Given Data:
- Couple's average age 4 years ago: 25 years
- Current average age of the family: 20 years
- The family consists of husband, wife, and a child
Let's solve the problem step by step:
Step 1: Find the current total age of the family
- The average age of the family now is 20 years
- Let the current total age of the family be x years
- Total age = 20 * 3 (husband, wife, and child) = 60 years
Step 2: Find the total age of the family 4 years ago
- 4 years ago, the couple's average age was 25 years
- Total age of the couple 4 years ago = 25 * 2 (husband and wife) = 50 years
- Total age of the family 4 years ago = 50 + age of the child 4 years ago
Step 3: Find the current age of the child
- Total age of the family 4 years ago = 50 + age of the child 4 years ago
- Total age of the family 4 years ago = 60 (as calculated in Step 1)
- 50 + age of the child 4 years ago = 60
- Age of the child 4 years ago = 60 - 50 = 10 years
Final Answer:
- The age of the child now is 10 years.
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The average age of a couple, married 4 years ago was 25 yrs then, average age of the family consisting of husband, wife and a child now is 20 yrs. What is the age of the child?
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