Question

the ages of Rahul and Laxmi are in the ratio 5 is to 7 4 years later the sum of their ages will be 56 what are their present ages​

Answer 1

Answer:

Rahul is 20 years old and Laxmi is 28 years old.

Step-by-step explanation:

Given :

Ratio of Rahul and Laxmi's ages = 5 : 7

Sum of their ages after 4 years = 56

To find :

Their present ages

Solution :

Let the present ages be -

• Rahul as 5x
• Laxmi as 7x

Ages after 4 years -

• Rahul = (5x + 4)
• Laxmi = (7x + 4)

$\rule{300}{1.5}$

According to the Question -

Sum of their ages after 4 years = 56

$\longrightarrow$ (5x + 4) + (7x + 4) = 56

$\longrightarrow$ 12x + 8 = 56

$\longrightarrow$ 12x = 56 - 8

$\longrightarrow$ 12x = 48

$\longrightarrow$ x = 48/12

$\longrightarrow$ x = 4

$\rule{300}{1.5}$

★ Value of 5x

$\longrightarrow$ 5(4)

$\longrightarrow$ 20

Rahul's present age = 20 years

$\rule{300}{1.5}$

★ Value of 7x

$\longrightarrow$ 7(4)

$\longrightarrow$ 28

Laxmi's present age = 28 years

$\therefore$ Rahul is 20 years old and Laxmi is 28 years old.

Answer 2

AnswEr :

Rahul's and Laxmi's Present Age is 20 Yrs. and 28 Yrs. Respectively.

Explanation :

◐ Present Age of Rahul : Laxmi = 5 : 7

Let their Present Age be 5x and 7x.

◐ After 4 Yrs.

• Rahul's Age = (5x + 4)

• Laxmi's Age = (7x + 4)

A.T.Q.

➟ (5x + 4) + (7x + 4) = 56

➟ 12x + 8 = 56

➟ 12x = 56 - 8

➟ 12x = 48

Cancelling Both Terms by 12.

➟ x = 4

_________________________________

▣ Rahul Present Age = 5x = (5 × 4) = 20 Yrs.

▣ Laxmi Present Age = 7x = (7 × 4) = 28 Yrs.

჻ Rahul's and Laxmi's Present Age is 20 Yrs. and 28 Yrs. Respectively.