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the sum of 2 numbers is 90. the difference is 12. what are the numbers?

Sagot :

Answer:

51 and 39

Step-by-step explanation:

Let's make this into an equation

a + b = 90

and

a - b = 12

Let's merge them

a + b + a - b = 90 + 12

Focus on a for now

2a = 102

a = 51

Now that we have the value of a, we substitute a in any of the 2 equations

51 + b = 90

Subtract 51 from both sides to isolate b

b = 39

We can prove this by adding and subtracting both numbers

51 + 39 = 90

51 - 39 = 12

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