Find a six-digit number containing no zeros and no repeated digits that satisfies the following conditions:
1. The first and fourth digits sum to the last digit, as do the third and fifth digits.
2. The first and second digits when read as a two-digit number equal one quarter the fourth and fifth digits.
3. The last digit is four times the third digit.
If you call the number ABCDEF, then you get the following equations.
1. A + D = F and C + E = F
2. AB = DE / 4
3. F = 4 × C
The only numbers that work for C and E are 2 and 6 or 4 and 8, and in order to make F a single-digit number, we can deduce that C = 2, E = 6 and F = 8.
So far, our number is AB2D68.
We know A + D = 8 so A and D are both odd numbers. The only odd number less than 8 that we can use for D to make one-quarter of two-digit number D6 also be a two-digit number is 7, so D = 7 and A is 1. This makes the two-digit number AB 19.
My first is in FLOWER and in ROSE
My second is in FORK and well as HOSE
My third is in CROCUS but not in GNOME
My fourth is in RAKE never in HOME
My fifth is in HOE and also in WEEDS
My sixth is in SHEARS though not in SEEDS
My seventh is in LADYBIRD not in CREATURE
Second. Second place is next to winning. Seconds, the measure of time, pass quickly. Seconding a motion is requested by the chair of the body in Parliament. And the second place finisher in many sporting events such as the Olympics is awarded the silver medal.
And as for why the unit of time is called a second, it goes back to the days of Ptolemy. A second of time is the second small part, or pars minuta secunda, of an hour. (Thanks to Tim J for researching it).