Question

Ryan is 93 years younger than Stacy.9 years ago , Stacy's age was 4 times Ryan's age. How old is Ryan now.​

Answer 1

40 years old

Explanation:

Define the variables:

• Let r be Ryan's age (in years).
• Let s be Stacy's age (in years).

Given Ryan is 93 years younger than Stacy:

⇒ r = s - 93

Given 9 years ago, Stacy's age was 4 times Ryan's age:

⇒ 4(r - 9) = (s - 9)

Substitute the first equation into the second equation and solve for s:

⇒ 4(s - 93 - 9) = (s - 9)

⇒ 4(s - 102) = s - 9

⇒ 4s - 408 = s - 9

⇒ 3s = 399

⇒ s = 133

Substitute the found value of s into the second equation and solve for r:

⇒ r = 133 - 93

⇒ r = 40

Therefore, Ryan is 40 years old now.