Question

Two numbers are in the ratio 3:5. When each of these numbers is increased by 10, their ratio becomes 5:7. Find the greater number. Please no spam tomorrow is my exam​​

Answer 1

Step-by-step explanation:

Step-by-step explanation:

$\red{\textbf{Answer}}$ ➧ 25

Step-by-step explanation:

$\blue{\texttt{Given :-}}$

$\textsf{Two numbers are in the ratio 3:5}$

$\textsf{Let the first number is}$ $\blue{\texttt{x}}$

$\textsf{ the second number is}$ $\blue{\texttt{y}}$

$\textsf{then ,}$

$\Large\frac{x}{y} = \Large\frac{3}{5}$

$3y = 5x$

$\textsf{on the other hand,}$

$\Large\frac{x + 10}{y + 10} = \Large\frac{5}{7}$

$\textsf{hence,}$$7(x + 10) = 5(y + 10)$

$\textsf{we get that,}$

$3y = 5x$,$7x + 70 = 5y + 50$

$3y = 5x \: , 5y = 7x + 20$

$y = \Large\frac{5x}{3}$,$y = \Large\frac{7x + 20}{5}$

∴ $\Large\frac{5x}{3} = \Large\frac{7x + 20}{5}$

$25x = 3(7x + 20)$

$25x = 21x + 60$

$4x = 60$

∴ $x = 15$

$\textsf{then,}$

$y = \Large\frac{5x}{3} = 5 \times \Large\frac{15}{3}$ $= 25$

$\red{\textbf{x = 15 , y = 25}}$

$\blue{\texttt{The greater number is }}$ $\red{\textbf{25}}$

Answer 2

Answer:

• 25

Given:

• Two numbers are in the ratio is 3: 5

• The numbers increased by 10, so their ratio becomes 5:7

To find:

• Greater number

Solution:

Given the ratio 3 : 5

so,

• let the first number be 3x
• let the second number be 5x

Given that the numbers is increased by 10 so,

Then,

(3x + 10 ) and ( 5x + 10 )

Putting the values:

● (3x + 10 ) : ( 5x + 10 ) = 5:7

● (3x + 10 ) / ( 5x + 10 ) = 5/7

● 7 (3x + 10 ) = 5 ( 5x + 10 )

● 21x + 70 = 25x + 50

● 25x - 21x = 70 - 50

● 4x = 20

● x = 20 / 4

● x = 5

so, x = 5

• Now first number is 3x = 3 (5) = 15

• second other number is 5x = 5 (5) = 25

Greater number is 25