Question

the ages of sona and Sonali are in the ratio 5 ratio 3 five year hence the ratio of their ages will be 10 ratio 7 find their present ages
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Answer 1

Answer:

hiii

your answer is here !

Step-by-step explanation:

let the present age of sona be 5x & Sonali be 3y .

after 5 years

sona age be = 5x+5

Sonali age be = 3x+5

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

7(5x+5) = 10(3x+5)

35x+35=30x+50

35x-30x= 50-35

5x=15

x= 15/5

x= 3

present age of sona = 5x=5×3=15 years

present age of Sonali=3x= 3×3=9years

follow me !

Answer 2

Answer:

The present ages are Sona is 15 years old and Sonali is 9 years old.

Step-by-step explanation:

Given :

Ratio of Sona and Sonali = 5 : 3

Ratio of ages after 5 years = 10 : 7

To find :

Their present ages

Solution :

Let the present ages be -

• Sona as 5y
• Sonali as 3y

Ages after 5 years -

• Sona = 5y + 5
• Sonali = 3y + 5

$\sf{\longrightarrow} \: {\dfrac{5y + 5}{3y + 5} = \dfrac{10}{7}} \\ \\ \sf{\longrightarrow} \:7(5y + 5) = 10(3y + 5) \\ \\ \sf{\longrightarrow} \:35y + 35 = 30y + 50 \\ \\ \sf{\longrightarrow} \:35y - 30y = 50 - 35 \\ \\ \sf{\longrightarrow} \:5y = 15 \\ \\ \sf{\longrightarrow} \:y = \dfrac{15}{5} \\ \\ \sf{\longrightarrow} \:y = 3$

$\rule{300}{1.5}$

★ Sona's present age -

$\sf{\longrightarrow} \:5(3) \\ \\ \sf{\longrightarrow} \:15$

Sona is presently 15 years old.

$\rule{300}{1.5}$

★ Sonali's present age -

$\sf{\longrightarrow} \:3(3) \\ \\ \sf{\longrightarrow} \:9$

Sonali is presently 9 years old.

$\therefore$ The present ages are Sona is 15 years old and Sonali is 9 years old.