Quandaries
and Queries
Hi
My name is Samuel and I am a secondary student. My question is the following:
If we add one 1 at the beginning and at the end of a number, this number is increased by 14789.
What is the sum of the digits of the number?. Many thanks for your help.
Samuel,
I am going to do a similar problem.
If we add one 1 at the beginning and at the end of a number, this number is increased by 15185. What is the number?
I think that the number must have 3 digits so that when I add a 1 to each end I get 1 5 digit number. Lets say the number is pqr, then adding a 1 to each end gives 1pqr1. The problem says that 1pqr1 is 15185 more than pqr, that is
15185 + pqr -------- 1pqr1
From above 5 + r has a units digit of 1 so r = 6.
15185 + pq6 -------- 1pq61
Continuing to add, 5 + 6 = 11 and 8 + 1 + q has a units digit of 6. Thus q = 7.
15185 + p76 -------- 1p761
In a similar fashion p must be 5 so the number you started with was 576.
Penny
