My current age, is the age of my brother (who is 14), plus one third of my age.
How old will I be when my brother is twice his current age?
[Ref: ZNTH] © Kevin Stone
Direct Link: www.brainbashers.com?ZNTH
Hint: A little algebra might help.
I will be 35 (in 14 years time).
I am currently 21.
If x is my current age, then:
x = 14 + x
3x = 42 + x
2x = 42
x = 21
I am currently 21 and my brother is currently 14, when he is 28 (double his age) I will be 35.
Starting in the bottom left corner and moving either up or right adding up the numbers along the way, what is the largest sum you can make?
[Ref: ZQIO] © Kevin Stone
Direct Link: www.brainbashers.com?ZQIO
Hint: You can only go up or right.
Yesterday I went for a short bicycle ride around the local lakes. As the weather was very hot, I rode in various stages.
In the first stage I rode half of the overall distance.
Stage two saw half of the remaining distance plus 35 metres covered.
Stage three covered three-quarters of the remaining distance.
Stage four completed half of the remaining distance plus 75 metres.
Stage five completed the journey with a final burst of 150 metres.
How far did I cycle in total?
[Ref: ZOFE] © Kevin Stone
Direct Link: www.brainbashers.com?ZOFE
Hint: Try working backwards.
---- Solution ----
Stage 1: cycled 3,670m leaving 3,670m
Stage 2: cycled 1,870m leaving 1,800m
Stage 3: cycled 1,350m leaving 450m
Stage 4: cycled 300m leaving 150m
Stage 5: cycled 150m leaving 0m
---- Solution Method ----
Stage 5's clue tells us that there were 150m left. So the distance left at the start of Stage 4 must have been:
Dist4 = Dist4 + 75 + 150
Which simplifies to give Dist4 = 450m.
Stage 3's clue tells us that 450m was one quarter of the remaining distance, so Dist3 = 1,800m.
Stage 2's clue tells us that the distance at the start of Stage 2 was:
Dist2 = Dist2 + 35 + 1800
Which simplifies to give Dist2 = 3,670m.
Stage 1's clue tells us that 3,670m was half the overall distance, which means the entire ride was 7,340m.
Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word.
Each letter is only used once, and no letter is repeated in the rows/cols/blocks.
Letters allowed: W A R M T H.
[Ref: ZUII] © Alan Stillson and Frank Longo.
Direct Link: www.brainbashers.com?ZUII
Hint: Row 1's missing letter is A which makes Column 4 a little easier to think about.
Across: OVAL, WISH, TOMB, REAL
Down : VAST, BROW, LIME, HALO
Boxes : VOWS, HAIL, BRAT, MOLE
Note : Other anagrams of these words are OK as long as they don't change the answer grid.