Question

Grandpa Collins is 2 years more than 25 times as his grandson Joshua. If Grandpa Collins is 77 years old, how old is Joshua?

Answer 1

3 years old is Joshua.

Explanation:

Let y represents the age of Grandpa Collins and x represents the age of grandson Joshua.

As per the given statement: Grandpa Collins is 2 years more than 25 times as his grandson Joshua.

"25 times as his grandson Joshua" means 25x

"2 years more than 25 times as his grandson Joshua" means 25x +2

⇒ y = 25x + 2 ......[1]

Also, it is given : Grandpa Collins is 77 years old

⇒ y = 77 years

Substitute y =77 in [1] to solve for x;

77 = 25x + 2

Subtract 2 from both sides of an equation:

77 -2 =25x+2 -2

Simplify:

75 = 25x

Divide both sides by 25, we get;

`(75)/(25) =(25x)/(25)`

Simplify:

3 = x

Therefore, the age of Joshua is, 3 years old.