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.
• 7x=5x+6
• 5(7x+6) =X+6
• 7x+6=5(X+6)

Answer 1

• 7x+6=5(X+6)

Explanation:

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 .

hope this helped, happy learning