The sum of three numbers is 15. If the
second number is subtracted from the sum
of first and third numbers then we get 5.
When the third number is subtracted from
the sum of twice the first number and the
second number, we get 4. Find the three
numbers.
Answers
Answer:
Three numbers are 3, 5, 7.
Step-by-step explanation:
Let, three numbers are x, y and z.
According to the question, sum of three numbers is 15
so, x + y + z = 15 .......(i)
second number is subtracted from the sum of first and third numbers and we get 5. So the equation is :
x + z - y = 5 .......(ii)
third number is subtracted from the sum of twice the first number and the second number then we get 4. And the equation is
2x + y - z = 4 .......(iii)
Now we have to find out value of x, y and z
For that, subtract equation (ii) from equation (i)
=> 2y = 10
=> y = 5
Add equation (ii) + equation (iii)
3x= 9
=> x = 3
put the values of x & y in eq (i)
3 + 5 + z = 15
=> z = 7
So, the three numbers are 3 , 5 and 7.
Step-by-step explanation:
so here's ur answer mate