The value of N is 196. To solve this problem, we use the formula for the factors of the number N.

Penjelasan dengan langkah-langkah:

Is known:

If N be the positive integer such that the sum of its two smallest factors is 3 and the sum of its two largest factors is 294,

Asked

Then the value of N is?

Answer:

Suppose the factors are a, b, c and d.

a + b = 3

c + d = 294

a x d = b x c

We are looking for the sum of 2 integers whose result is 3.

1 + 2 = 3

so that a = 1 and b = 3

a x d = b x c

1 x d = 2 x c

d = 2c

c + d = 294

c + 2c = 294

3c = 294

c = 294 : 3

c = 98

c + d = 294

98 + d = 294

d = 294 - 98

d = 196.

N = a x d = 1 x 196 = 196.

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