Question

If a number is multiplied by 7 and this product is increased by 7 the result is 1 less than 9 times the number. What is the number?

Answer 1

A) x * 7 = y

B) y + 7 +1 = 9x

A) x  = y / 7
Substituting this into B)

B) y + 8 = 9(y/7)

Multiplying both sides by 7

B) 7y + 56 = 9y

2 y = 56

y = 28
x = 4

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Double Check
4 * 7 = 28 + 7 = 35
9*x = 36