Question

Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits. HELP QUICK! 100 PTS

Answer 1

The values of Y, E, A, R are "2, 9, 1, 0"

Explanation:

The given equation is:

⇒ YYYY-EEE+AA-R=1234

Let the values,

Y=2

E =9

A =1

R =0

On substituting the estimated values in the L.H.S of the given equation, we get

⇒ 2222 - 999 + 11 - 0

⇒ 1223 + 11

⇒ 1234 i.e.. R.H.S

so ig Y.E.A.R will be 2 9 1 and 0

Answer 2

Y=2, E=9, A=1, R=0

Explanation:

1000Y+100Y+10Y+Y-100E-10E-E+10A+A-R=1234

1111Y-111E+11A-1R=1234

Y cannot be 1, and it cannot be greater than 2, since the other digits could not possibly make it add up to 1234. This means that Y must be 2:

2222-111E+11A-R=1234

In this case, E would have to be 9 to make it possible for this to have a solution, by bringing it down to 1223.

1223+11A-R=1234

1223+11=1234, meaning that A must be 1 and that R must be 0. Hope this helps!