Juliya is 5 years younger than her brother,Tom.how old are they if the product of their ages is 126?
j = t-5
jt = 126
Hint: 9*14 = 126
To determine the ages of Juliya and Tom, we need to find two numbers that have a product of 126 and are 5 years apart.
Let's start by finding all the factor pairs of 126:
1 x 126 = 126
2 x 63 = 126
3 x 42 = 126
6 x 21 = 126
7 x 18 = 126
9 x 14 = 126
Now, let's check if any of these factor pairs have a 5-year difference.
Looking at the factor pairs, we see that 9 and 14 have a difference of 5.
Since Juliya is younger than Tom, we assign the smaller number (9) to Juliya and the larger number (14) to Tom.
Therefore, Juliya is 9 years old and Tom is 14 years old.
Think about the problem this way:
J = Julia
T = Tom
J = 5 < T
J + T = 126
126 - 5 = 121
Obviously, Tom would not be 121 years old. Think of a number that would equal 126 if added with 5, and would be greater than 5 (Like I said before, make sure your answer is reasonable!).