Question

work out the following problem.
EAT
+ THAT
APPLE​

Answer 1

Do you mean EAT+THAT=APPLE

Answer: See below

Step-by-step explanation:

      E A T

+  T H A T

A P P L E

*The sum of digits represented by E and H must have a “carry” such that this “carry” when added to “T” must result in AP. (If there is nothing to be added with T then the result would also be T but here the result is P. So a value P-T should have been added (carry))

The only “carry” possible for the sum “E+H” is 1

Because the highest digit possible is 9.

So, even if we assumed the highest three digit number and highest 4 digit number to be added, (carries are marked in bold)

 1   1  1  

      9 9 9

+  9 9 9 9

1 0 9 9 8

So, only 1 can be the carry,

So, we can come to a conclusion that

T+1=P

*We can also notice another thing, that

      E A T

+  T H A T

A P P L E

While T was added with 1, it results in a two digit number.

Only 9 + 1 = 10

        8 + 1 = 9

If we add 9 with 1 only, we can get a two-digit number.

So, We can say T=9

* If T is 9 then A P should be 1 0. (9+1=10)

A=1, P=0

Now we can substitute these 3 letters with their respective values.

      E 1 9

+  9 H 1 9

1 0  0 L E

*From this we can identify E=8 as 9+9 = 18. 8 should be written down and 1 will be the carry.

         1

      8 1 9

+ 9 H 1 9

1 0  0 L 8

*If 1 is carried to the tens place then sum of L should be 1+1+1=3

So, L=3

      8 1 9

+ 9 H 1 9

1 0  0 3 8

*Now we have to know that if 1 should have to be carried to the next place, it means the sum of 8 and H should be 10. So,

10-8 = 2

H=2

      8 1 9

+ 9 2 1 9

1 0  0 3 8

So, A=1, E=8, H=2, L=3, P=0, T=9

Value of EAT is 8+1+9 = 18

Value of THAT is 9+2+1+9=21

Value of APPLE is 1+0+0+3+8=12

Hope that it answers your question

If my answer was helpful, please mark me as brainliest:)

Answer 2

Given :

   EAT

+THAT

_____

APPLE

Each Letter represent a digit

To Find : Value of Each letter

Solution:

Rules :

Each letter represent one digit and each digit is represented by one letter.

First digit of a number can not be zero.

   EAT

+THAT

_____

APPLE

4 Digit Number + 3 Digit number = 5 Digit Number

Hence T must be  9  

and A must be 1  and P must be  0

9 + 9 = 18  Hence E must be 8

   819

+9H19

_____

100L8

1 + 1 + 1 ( carry over)  = 3

8 + H = 10  => H = 2

   819

+9219

_____

10038

E = 8  , A  = 1  ,  T  = 9  ,  H  = 2 ,   P = 0   , L  = 3

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