# A quarter is one fourth of a dollar but Mr. Brainteaser has...........letter by a digit to make above solution correct ?

247 views

A quarter is one fourth of a dollar but Mr. Brainteaser has changed the equation as below :

DOLLAR * 4 = QUARTER

Can you replace each letter by a digit to make above solution correct ?

posted Nov 7, 2016

To answer this we have to look at the multiples of 4 and it's patterns at its units place.
We can see that A and R are repeated on both sides

Now looking at R on both sides we can conclude that it is 0 because only when 4*0 we get 0 back and we have R at both side's units place.

We have 2 Ls on Dollar side and corresponding to those digits we have RT on other side.
Since we already found out what R is (0), to find L we just have to see what value of L will create a carry over that gives us 0 corresponding to R.
This found to be 7
ie., only when 77*4 = 308
Here 3 is irrelevant and all other numbers except 0 which is already taken gives some other value at R's place.
The last 3 digits on the Dollar side could be done by trial and error.

457730( - DOLLAR ) ×4 = 1830920( - QUARTER)
D - 4
O - 5
L - 7
A - 3
R - 0
Q - 1
U - 8
T - 9
E - 2

+1 vote

Solution:

457730 * 4 = 1830920
(DOLLAR * 4 = QUARTER)

Similar Puzzles

Using mathematical symbols like +, -, and x in order to make the equations correct. Replace # with the above-given symbols.

9 # 8 # 7 # 6 # 5 # 4 = 91

Create a four digit number in which the first digit is one fourth of the last digit, Second digit is 6 times of the first digit, and the third digit is addition of the second digit and 3.

A code has 4 digits and you know this information.
9285
one number is correct but in the wrong place

1937
two numbers are correct but in the wrong place

5201
one number is correct and in the right place

6507
nothing is correct

8524
two numbers are correct but in the wrong places

Can you crack the code?

+1 vote

The equation shown below is not correct:

26 - 63 = 1

Can you make the equation correct by moving just one digit?

+1 vote

Find the five digit number in which the first digit is one half of the the 4 fourth digit, the second digit is one fourth of the last digit, the fourth digit is 3 times the second digit, and the third digit is the first digit plus 4.