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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 :

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

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