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 ?

+3 votes

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 ?

+2 votes

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.

The answer is

457730( - DOLLAR ) ×4 = 1830920( - QUARTER)

D - 4

O - 5

L - 7

A - 3

R - 0

Q - 1

U - 8

T - 9

E - 2

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