Question

Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years?

If x represents Harry's age now, then which of the following equations could be used to solve the problem?


1.5(7x + 6) = x + 6
2. 7x = 5x + 6
3. 7x + 6 = 5 (x + 6)

Answer 1

Let x represent Harry's age now, and Nick's age now is 7x. [t]
In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6]
Combining [t] and [t+6], 7x + 6 = 5(x+6).
So the formula 7x + 6 = 5(x+6) represents the problem.

And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .
#copypaste :)