sam and his uncle are 11,59 years old respectively. How many years ago was sam's uncle 7 times as old as roy? please explain in linear equations
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Given:
✰ Age of Sam = 11 years
✰ Age of Sam's uncle = 59 years
To find:
✠ How many years ago was Sam's uncle 7 times as old as Sam?
Solution:
Let's understand the concept first!
- First we will assume that x years ago Sam's uncle was 7 times as old as Sam, which means that x will be subtracted from both their ages, that is the age of Sam and the age of his uncle.
- After that we know x years ago Sam's uncle was 7 times as old as Sam which means 7 will be multiplied by Sam's age.
- Thus forming an adequate equation and doing the required calculations, we will find the value of x that is is number of years ago when Sam's uncle was 7 times as old as Sam.
Let's find out...✧
Let x years ago was Sam's uncle 7 times as old as Sam.
⤳Age of Sam = 11 years - x years
⤳Age of Sam's uncle = 59 years - x years
According to the question,
➤ 59 - x = 7( 11 - x )
➤ 59 - x = 77 - 7x
➤ - x + 7x = 77 - 59
➤ - x + 7x = 77 - 59
➤ 6x = 18
➤ x = 18/6
➤ x = 3
∴ 3 years ago was Sam's uncle 7 times as old as Sam.
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