Question

the ratio of ages of Sudha and meera is 5: 3. 10 years hence, the ratio of their ages will be 7:5. find their present age.​

Answer 1

Step-by-step explanation:

5x+10/3x+10=7/5

25x+50=21x+70

4x=20

x=5

sudha age 5x=5×5=25

mira age 3x=3×5=15.

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Answer 2

➣ Given :

• The ratio of ages of Sudha and meera is 5: 3. 10 years hence, the ratio of their ages will be 7:5. find

➣ To Find :

• The present age of Sudha and Meera.

➣ Answer :

$\sf\pink{➔ \: Present \: age \: of \: Sudha = 25}$

$\sf\pink{➔ \: Present \: age \: of \: Meera = 15}$

➣ Explanation :

Let us assume :

• Sudha's age = 5x
• Meera's age = 3x

After 10 years,

• Age of Sudha = (5x + 10)

• Age of Meera = (3x + 10)

➣ A.T.Q

$\implies\large\sf\frac{(5x + 10)}{(3x + 10)} = \frac{7}{5}$

$\implies5(5x + 10) = 7(3x + 10)$

$\implies25x + 30 = 21x + 50$

$\implies 25x - 21x = 50 - 30$

$\implies$ 4x = 20

$\implies$ x = 5

We got the value of x = 5

➣ Now,

Sudha's age = 5x = 5 × 5 = 25

Meera's age = 3x = 3 × 5 = 15