When a 3 digit number is added to a 4 digit number and the result is a 5 digit number then the highest digit of the 4 digit number must be 9 and the highest to of the result must be 10.
Y+O=9+4=13. There cannot be a carry from O+U. If there was a carry A would also be 4.
Because O+U doesn’t have a carry the result is less than 10.
It also can’t be 9 because then R would be 9 or 0 and those numbers are already used.
So U must be less than 5 and the only number remaining is 2.
R can either be 6 when there is no carry from U+R or 7 when there is.
Because U=2 there will be no carry with either number.
H+A+T+E = 1+3+8+0 = 12
More puzzles to try-
Which are the requested two numbers. ?Using the digits 1 up to 9, two numbers must be made. The product of these two numbers should be ...Read More »
Man fell in Well PuzzleA man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters ...Read More »
Box in the CartonJohn can place six large boxes or nine small boxes into a carton. Can you find out in how many ...Read More »
Hot but Cold RiddleI am hot but if you remove first two alphabets then I will become really cold. Who am I ?Read More »
Heart CategoriesCan you find a word to match each category and starts with the letter in the left column? . . ...Read More »
23 prisoners and two switchesA prison has 23 prisoners in 23 different cells. The prisoners have no way to communicate with each other in ...Read More »
N bulbs in a circleThere are n bulbs in a circle, each bulb has one switch associated with it, on operating the switch, it ...Read More »
Even by mentioning it breaksWhat is so delicate that even mentioning it breaks it?Read More »
A non stop marathon RiddleA non stop marathon is the shared favorite sport of three brothers. The oldest one is fat and short and ...Read More »
What is the logic behind these ?3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »
Taxi driver mystery timing riddleA taxi driver was called to take a group of passengers to the train station. The station is normally an ...Read More »
Business trek with their respective wives and crossing the river puzzleThree jealous personnel at IGHALO Ltd went on a business trek with their respective wives and they needed to cross ...Read More »
Three number series puzzleCan you find the next three numbers in the given series? 4, 6, 12, 18, 30, 42, 60, 72, 102, ...Read More »
False Statement riddleWhich of the following statements are true and which are false ? 1. Only one of the statements is false ...Read More »
How much higher would the nail be?When James was nine years old he hammered a nail into a tree to mark his height. Ten years later, ...Read More »
What is in seasons, seconds, centuries and minutes but not in decades, years or days?What is in seasons, seconds, centuries and minutes but not in decades, years or days?Read More »
Number RiddlePlease add the following numbers in your head. Start with 1000. Add 40 Add 1000 Add 30 Add 1000 Add ...Read More »
Coin game with devil riddleyou die and the devil says he’ll let you go to heaven if you beat him in a game. the ...Read More »
Peacock and egg puzzleIf a peacock and a half, lay an egg and a half, in a day and a half. How many ...Read More »
What strategy could they use to ensure they will go free?There is a prison with 100 prisoners, each in separate cells with no form of contact. There is an area ...Read More »