In the addition problem at the right, each letter stands for a digit and different letters stand for different digits. What digits do letters H, E, and A repersent?

Respuesta :

In the addition problem attached, the letters H = 2, E = 3, A = 9. See the explanation below.

What is the explanation for the above?

In the problem, A depicts a single digit i.e; A < 9.

=> 4H<10

=>H<3

i.e; H should be 1 or 2.

In units column, 4E should have H in units place in the result. i.e; 1 or 2

As 4E is always an even number, H cannot be 1.

=> H = 2

If H = 2, E can be 3 or 8 for 4E to end in 2.

If E = 8, the result will be a three-digit number => E = 3

So if H = 2 and E = 3

A = 9

Therefore, the letters

H = 2,

E = 3, and

A = 9.

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