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One number is 6 more than other number. Also, 7 times the smaller number is equal to 6 times the
larger number. Find the two numbers.

Respuesta :

altavistard

Answer:

The numbers are 36 and 42

Step-by-step explanation:

Represent the two numbers  by m and n, m being the larger number and n the smaller.  Then

m = n + 6.  also, 7n = 6m

Substitute n + 6 for m in the second equation:  7n = 6(n + 6).

Performing the indicated multiplication, we get 7n = 6n + 36, or n = 36.

Then m = n + 6, which here is m = 36 + 6 = 42.

The numbers are 36 and 42.

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