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Sliva [168]
3 years ago
5

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

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

3 years old is Joshua.

Step-by-step 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;

\frac{75}{25} =\frac{25x}{25}

Simplify:

3 = x

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

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Answer:

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Step-by-step explanation:

x = 2/3 is a root of both the numerator and the denominator, so it divides evenly.  Therefore, one method is to factor by grouping:

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Divided by 3x − 2:

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Another method is to use long division (see image).

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Step2247 [10]
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