Jerry’s age is 9 years less then 6 times Toms age. The sum of their ages is 39. Solve algebraically to find each persons age.



Answer :

Answer:

Tom is approximately 6.86 years old. Jerry is approximately 32.14 years old.

Step-by-step explanation:

Let's assign variables to represent their ages:

Let Tom's age = x

Jerry's age = y

According to the given information:

y = 6x - 9  (Jerry’s age is 9 years less than 6 times Tom’s age)

y + x = 39  (The sum of their ages is 39)

Substitute the value of J from the first equation into the second equation:

(6x - 9) + x = 39

7x - 9 = 39

7x = 48

x = 48 / 7

x ≈ 6.86

Now, substitute y back into the first equation to find Jerry's age:

y = 6(6.857) - 9

y = 41.142 - 9

y = 32.142

Therefore, Tom is approximately 6.86 years old and Jerry is approximately 32.14 years old.

Hope this helps!