Question

III. The sum of ages of Sam and Raj is 54 years. Sam is elder to Raj by 4
years. Then find their todays ages.​

Answer 1

Given :-

The sum of ages of Sam and Raj = 54 years

Sam is elder to Raj by 4 years

To Find :-

Present ages of Sam and Raj

Solution :-

Let take the age of Raj be x

Sam is 4 years elder than Raj

Therefore,

The age of Sam be x + 4

Now,

x + 4 + x = 54

2x + 4 = 54

2x = 54 - 4

2x = 50

x = 50/2

x = 25

The present age of Raj ( x) = 25 years

The present age of Sam ( x + 4 )

= 25 + 4 = 29 years.

Answer 2

$\pink{ \bold{ \huge{ \boxed{answer}}}}$

$\huge \: x = sam \: \: \: age \\ \\ \huge \: y = raj \: \: \: age \\ \\ \huge \: x = y+ 4 \\ \\ \huge \: x + y = 54 \\ \\ \huge \: y+ 4 +y = 54 \\ \\ \huge \: 2y+ 4 = 54 \\ \\ \huge{ \pink{y= 25yrs}} \\ \\ \purple{ \huge{x = 29yrs}}$

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