Question

Independent Classwork
2.
The difference between two numbers is 400. The smaller number is 3102
What is the sum of the two numbers?
Model:

Answer 1

Answer:

They are 16 and 25.

Allow the two numbers to be n and n+9.

So n(n+9)=400

⟹n2+9n=400

⟹n2+9n−400=0

⟹(n+25)(n−16)=0

So n can be 16 or −25 to make this equation valid, but the restriction is that n must be a natural number, so n=16 . This would make n+9=25.

Proof:

25−16=9

25×16=400

Thus confirmed, the numbers are 16 and 25.

Q.E.D.

Answer 2

Answer:

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