Question

the present age of vatsala and sara are 14 years and 10 years after how many e years the ratio of their ages will become 5 ratio 4​

Answer 1

Answer:

• After 6 years the ratio of their ages will become 5 : 4.

Step-by-step explanation:

Given that:

Their present ages.

• Vatsala's age = 14 years
• Sara's age = 10 years

To Find:

• After how many years the ratio of their ages will become 5 : 4.

Let us assume:

• The ratio of their ages will become 5 : 4 after x years.

After x years:

• Vatsala's age = (14 + x) years
• Sara's age = (10 + x) years

Finding the value of x:

According to the question.

⟶ (14 + x)/(10 + x) = 5/4

Cross multiplication.

⟶ 4(14 + x) = 5(10 + x)

⟶ 56 + 4x = 50 + 5x

⟶ 5x - 4x = 56 - 50

⟶ x = 6

∴ The value of x = 6

Hence,

• After 6 years the ratio of their ages will become 5 : 4.

Answer 2

Given :-

Present age of Vatsala and Sara are 14 and 10 years

After how many year the ratio will be 5:4

Solution :-

Let the required age be x

$\sf \dfrac{14+x}{10+x} = \dfrac{5}{4}$

$\sf 4(14+x)=5(10+x)$

$\sf 56+4x=50+5x$

$\sf 5x-4x=56-50$

$\sf x =6$

Therefore,

After 6 years the ratio will be 5:4