Question

two numbers are in the ratio 3 is to 5 if each number is increased by 10 then the ratio becomes 5 is 27 the number are​

Answer 1

Answers :

Correct Question : Two numbers are in the ratio 3 is to 5, if each number is increased by 10 then the ratio becomes 5 is to 7. The number are :

Numbers are in the ratio : 3:5

Let the required numbers be 3x and 5x.

Atq,

$\: \: \: \: \: \: \: \: \frac{3x + 10}{5x + 10} = \frac{5}{7} \\ = > 7(3x + 10) = 5(5x + 10) \\ = > 21x + 70 = 25x + 50 \\ = > 21x - 25x = 50 - 70 \\ = > - 4x = - 20 \\ = > \: \: \: \: \: x \: = \frac{ - 20}{ - 4} \\ = > \: \: \: \: \: \: x = 5$

Hence, the required numbers are

(3×5) =15 and (5×5)=25

Answer 2

AnswEr :

• two no.s in ratio 3 : 5
• each of them increased by 10 then ratio will be 5 : 7, Find Numbers.

⋆ Let the Number be 3a and 5a.

• According to the Question Now :

⇒ Original Nos. Ratio + 10 = New Ratio

⇒ 3a + 10 / 5a + 10 = 5 / 7

• By Cross Multiplication

⇒ 7 × (3a + 10) = 5 × (5a + 10)

⇒ 21a + 70 = 25a + 50

⇒ 70 - 50 = 25a - 21a

⇒ 20 = 4a

• Dividing Both term by 4

⇒ a = 5

◗ First No. = 3a = 3(5) = 15

◗ Second No. = 5a = 5(5) = 25

∴ Therefore, Numbers are 15 and 25.