Question

The ages of rahul and laxmi are in the ratio5:7.four years later, the sum of their ages will be 56 years.what are their present ages?​

Answer 1

Answer:

★ Rahul's present age = 20 years

★ Laxmi's present age = 28 years

Step-by-step explanation:

Given,

• The ages of Rahul and Laxmi are in the ratio 5 : 7
• Four years later,  the sum of their ages will be 56 years

To find,

• Their present ages

Solution,

  Let the present age of Rahul be 5x

   and the present age of Laxmi be 7x

Four years later,

 Rahul's age = 5x + 4

 Laxmi's age = 7x + 4

Sum of their ages = 56

  5x + 4 + 7x + 4 = 56

 12x + 8 = 56

  12x = 56 - 8

   12x = 48

     x = 48/12

     x = 4

Rahul's present age = 5(4) = 20 years

Laxmi's present age = 7(4) = 28 years

Verification :

☆ Condition - 1 :

   The ages of Rahul and Laxmi are in the ratio 5 : 7

        20 : 28 = 5 : 7

        4(5) : 4(7) = 5 : 7

          5 : 7 = 5 : 7

          LHS = RHS

☆ Condition - 2 :

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

        (20 + 4) + (28 + 4) = 56

           24 + 32 = 56

            56 = 56

           LHS = RHS

Hence verified!

Answer 2

Step-by-step explanation:

$\huge\bf\underline\green{answer}$

$\huge\sf\underline{given}$

ratio of ages of Rahul and laxmi = 5/7

let,

the age of Rahul = 5x

.: present age of Rahul after four years be = 5x+4

the age of laxmi = 7x

.: present age of laxmi after four years be= 7x+4.

sum of their ages after four years = 56.

$\huge\sf\underline\blue{to find}$

present age of Rahul and laxmi.

$\huge\fcolorbox{black}{purple}{solution:}$

.: sum of the ages of Rahul and laxmi after four years = 56

5x+4+7x+4 = 56

12x+8 = 56

12x = 56-8

12x = 48

x = 48/12

x = 4.

.: present age of Rahul= 5x = 5×4 = 20years

.: present age of laxmi= 7x = 7×4 = 28 years