Question

2) 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.​

Answer 1

Step-by-step explanation:

Let the three numbers be a,b,c

The sum of three numbers is 15

⟹ a+ b+ c= 15⋯(1)

The second number is subtracted from the sum of first and third number to geet

5

⟹ a− b+ c= 5⋯(2)

twice of first number is added to second and if the third number is subtracted from sum we get4

⟹ 2a+ b− c= 4⋯(3)

(1)− (2)

⟹ 2b= 10 b= 5

put it in (1)

⟹ a+ c= 10 c= 10− a

put it in (3)

2a+

5−

10+

a=43a−

5=

4

3a=

9

a=

3

⟹

c=

10−

3c=

7

a=

3;b=

5;c=7

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