Question

A man is 10 times older than his grandson. He is also 54 years older than him. Find their present ages. Please solve and in a detailed way too

Answer 1

✬ Man's age = 60 years ✬

✬ Grandson's age = 6 years ✬

Step-by-step explanation:

Given:

• A man is 10 times older than his grandson.
• Man is also 54 years older than his grandson.

To Find:

• What is the present ages of both ?

Solution: Let the age of grandson be x years. Therefore,

➟ Age of man = 10 times of his grandson

➟ Man's age = 10x years

Now, A/q

• Since man is also 54 years older than grandson.

$\implies{\rm }$ 10x = x + 54

$\implies{\rm }$ 10x – x = 54

$\implies{\rm }$ 9x = 54

$\implies{\rm }$ x = 54/9

$\implies{\rm }$ x = 6

So,

➮ Age of his grandson is x = 6 years

➮ Age of man = 10x =10(6) = 60 years

Answer 2

$\large \bold \green{ \underline{answer}} \\ \\ \implies \bold \therefore \orange{age \: \: of \: \: grandson \: \: = \: \: 6 \: years} \\ \\ \implies \bold \therefore \orange{age \: \: of \: \: man \: \: = \: \: 60 \: years} \\ \\ \implies \bold \blue{ \underline{explanation}} \\ \\ \implies \bold{let \: \: the \: \: age \: \: of \: \: grandson \: \: be \: = x} \\ \\ \implies \bold{age \: \: of \: \: man \: = \: 10x} \\ \\ \implies \bold{10x = x + 54} \\ \\ \implies \bold{9x = 54} \\ \\ \implies \bold{x = 6} \\ \\ \implies \bold \pink \therefore \pink{grandson \: \: age \: \: = \: \: x \: \: = 6 \: years} \\ \\ \implies \bold \pink \therefore \pink{man \: \: age \: \: = \: 10x = \: \: 10 \times 6 = 60 \: years}$