Mrs Catchpoles' Instructions
Mrs Catchpole gives the following instructions to her Year 6 class:
Think of a number. Subtract 13 from this number to get the first result. Go back to the original number and subtract 5 to get the second result. Multiply the first and second results together to get the final answer.
Richard obtains a final answer of 0. What number might he have thought of? Give all possibilities.
To solve this one, we need to create some equations.
ReplyDeleteLet x be the number that Richard started off with.
x - 13 ------> First result
x - 5 ----> Second result
(x-13)(x-5) = 0
To get an answer of 0 when multiplying, either x - 13 = 0 or x - 5 = 0
This gives us an answer of x = 13 or x = 5
This means all of the possibilities that Richard could have thought of initially are 5 and 13