# The mean of seven number is 15 when three numbers is added, the mean of the ten numbers is 12. Find the three numbers

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**Answer:**

**Given:**

**1) mean of 7 numbers is 15**

**after adding 3 numbers to it **

**2)mean of 10 numbers is 12**

**let us assume that three numbers as a,b and c **

**also let x be the sum of that first 7 numbers **

**mean=sum of all numbers /number of given numbers **

**15=x/7**

**15x7=x**

**x=105**

**Now, let us go to second case**

**mean=sum of numbers/number of numbers**

**12=x+a+b+c/10**

**12=105+a+b+c/10**

**12x10=105+a+b+c**

**120=105+a+b+c**

**120-105=a+b+c**

**15=a+b+c**

**so,**

**a=5**

**b=5 and **

**c=5**

**THANK U**

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