The sum of two numbers is 60. If twice the smaller number is subtracted from the large number, the result is 9. Find the two numbers

Answer:Therefore the two numbers are - 20 and - 40

Step-by-step explanation:

Let the two numbers be a and b,

It is given that their sum is 60, so a + b = - 60,

It is also given that their difference is 20, so a - b = 20,

Since we don't know yet which one out of a and b is greater, assume any one of them to be larger than the other (a in my case),

Add the above two equations, you get,

2a = - 40 or a = - 20,

Substitute this value of a in any of the formed equations,

a + b = - 60,

-20 + b = - 60 or b = - 40,

Let the two numbers be a and b,

It is given that their sum is 60, so a + b = - 60,

It is also given that their difference is 20, so a - b = 20,

Since we don't know yet which one out of a and b is greater, assume any one of them to be larger than the other (a in my case),

Add the above two equations, you get,

2a = - 40 or a = - 20,

Substitute this value of a in any of the formed equations,

a + b = - 60,

-20 + b = - 60 or b = - 40,

Therefore the two numbers are - 20 and - 40