Question

The age of Rahul and lasmi in the ratio of 5:7 four years later the sum of their ages will be 56years what are their present age

Answer 1

Let present age of Rahul be 5M years and present age of Laxmi be 7M years.

After 4 years,

$\underbrace{(5M \: + \: 4) \: years} _{ \sf{Age \: of \: Rahul}} \: \: \sf{and} \: \: \underbrace{(7M\: + \: 4) \: years}_{ \sf{Age \: of \: Laxmi}}$

Four years later, the sum of their ages will be 56 years.

According to question,

⇒ $\sf{5M\:+\:4\:+\:7M\:+\:4\:=\:56}$

⇒ $\sf{12M\:+\:8\:=\:56}$

⇒ $\sf{12M\:=\:56\:-\:8}$

⇒ $\sf{12M\:=\:48}$

⇒ $\sf{M\:=\:\frac{48}{12}}$

⇒ $\sf{M\:=\:4}$

•°• Present age of Rahul = 5M

⇒ $\sf{5(4)}$

⇒ $\sf{20\:years}$

•°• Present age of Laxmi = 7M

⇒ $\sf{7(4)}$

⇒ $\sf{28\:years}$

_______________________________

Verification :-

From above calculations we have M = 4

Substitute value of M in this : 5M + 4 + 7M + 4 = 56

=> 5(4) + 4 + 7(4) + 4 = 56

=> 20 + 4 + 28 + 4 = 56

=> 56 = 56

Answer 2

Answer:

Suppose the age of Rahul = 5M.

and the age of Lasmi = 7M.

Four years later the sum of their age Will be 56 years .

= 5M + 4 + 7M + 4 = 56

= 12M + 8 = 56.

12M = 56 - 8

12M = 48.

M = 4 .

The present age of Rahul = 5M.

= 5(4)

= 20 years.

The present age of lasmi = 7M.

= 7(4)

= 28 years.