Thread: equation with integers

Find the whole numbers for A and B that satisfy the following equation.

A+B = A.B A and B cannot be zero.
2

AND

Every once in a while a calendar year will be a palindrome, which means it reads the same forward and backward. Starting with 10 a.d. , can you come up with a pair of palindrome years that are...

A) 110 Years apart?
B) 11 Years apart?
C) 10 years apart?
D) 2 Years apart?


Thanks SOOOOOO much!

Originally Posted by annie3993

Find the whole numbers for A and B that satisfy the following equation.

A+B = A.B A and B cannot be zero.
2

AND

Every once in a while a calendar year will be a palindrome, which means it reads the same forward and backward. Starting with 10 a.d. , can you come up with a pair of palindrome years that are...

A) 110 Years apart?
B) 11 Years apart?
C) 10 years apart?
D) 2 Years apart?


Thanks SOOOOOO much!

You have 2 unknowns - A and B, so you need simultaneous equations to find both. 1 equation is not enough.

Originally Posted by annie3993

Find the whole numbers for A and B that satisfy the following equation.

A+B = A.B A and B cannot be zero.
2

Note that A.B can be written as

so now we get

multiply by 10 to clear the fractions



Since A need to be a whole number B needs to be a multiple of the denominator 5



A=4 and B=5.

I hope this helps.

i still can't get this one...

Every once in a while a calendar year will be a palindrome, which means it reads the same forward and backward. Starting with 10 a.d. , can you come up with a pair of palindrome years that are...

A) 110 Years apart?
B) 11 Years apart?
C) 10 years apart?
D) 2 Years apart?


Thanks SOOOOOO much!

Originally Posted by annie3993

i still can't get this one...

Every once in a while a calendar year will be a palindrome, which means it reads the same forward and backward. Starting with 10 a.d. , can you come up with a pair of palindrome years that are...

A) 110 Years apart?
B) 11 Years apart?
C) 10 years apart?
D) 2 Years apart?


Thanks SOOOOOO much!

If there is an algorithm to determin this I do not know it.

You just have to guess(make educated guesses) and check

for exapmle for D)

1001 is a one and two less than it is 999.

Write some out and see what you can get

Alright, i'll try that. Thanx 4 your help!

How does A.B = A + B/10?

:S


A.B = A*B, no?

I don't get this.

i don't really get it either, but i desperately need extra credit, so i'll take any answer...

Originally Posted by sean.1986

How does A.B = A + B/10?

:S


A.B = A*B, no?

I don't get this.

A and B are digits the peroid doesn't represent multiplication.

The period is a decimal point so what the question is asking is







I hope this clears it up.

Yes it does, haha. I thought it was multiply.

A) 1221 1331
B) 22 11
C) 121 131
D) 1001 999

Originally Posted by TheEmptySet

A and B are digits the peroid doesn't represent multiplication.

The period is a decimal point so what the question is asking is







I hope this clears it up.

For extra credit problems we should only be giving hints and commenting on solutions proposed by the original poster.

Giving them a full answer that can be handed in is helping no one, whatever the original poster thinks.

RonL