Math, asked by archana123456745, 7 months ago

the ages of Rahul and laxmi are in ratio 5:7.four years later the sum of their ages will be 56 years what are their present ages??​

Answers

Answered by Anonymous
34

question:

the ages of Rahul and laxmi are in ratio 5:7.four years later the sum of their ages will be 56 years what are their present ages?

solution:

rahul's age = 20 , laxmi's age = 28

To find:

what are their present ages?

Given:

the ages of Rahul and laxmi are in ratio 5:7.four years later the sum of their ages will be 56 years

step by step explanation:

let the ages of Rahul and laxmi be 5x and 7x

four year later:

rahul's age = (5x + 4) and laxmi's age = (7x + 4)

 \sf(5x + 4)(7x + 4) = 56

 \sf 12x + 8 = 56

 \sf 12x = 56 - 8

 \sf 12x = 48

 \sf x =  \frac{48}{12}

 \sf x = 4

therefore:

rahul's age = 5 × 4 = 20 and laxmi's age = 7 × 4 = 28.

Answered by itzshrutiBasrani
6

 \pink{\sf {Answer}}

Present age of Rahul = 4 × 5 = 20.

Present age of Laxmi = 4 × 7 = 28.

 \pink{\sf {Solution}}

  • Let the present age of rahul be = 5x years.
  • Let the present safe of laxmi be = 7x years.

Now , it is given that 4 years later their age will be 56 years.

So,

4 years later ,

 \purple{\sf {rahul \: age \:  = (5x + 4) }}

 \purple{\sf {laxmi \: age \:  = (7x + 4)}}

Now , According to the question ,

we get

 \red{\sf {5x + 4 + 7x + 4}}

 \red{\sf {\implies12x + 8}}

  \red{\sf {\implies x = 4 \: years}}

Hence ,

Present age of Rahul = 4 × 5 = 20.

Present age of Laxmi = 4 × 7 = 28.

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