Question

2 numbers are in ratio 5:6 if 4 is subtracted from each term, their ratio becomes 3:4 find the numbers​

Answer 1

Answer:

ans is 2:3

Step-by-step explanation:

please mark me as brainlist

Answer 2

Given:

• 2 numbers are in ratio 5:6
• 4 is subtracted
• Ratio becomes 3:4

To find:

• Numbers = ?

Solution:

Let 2 numbers be in the ratio 5x and 6x

According to the question,

$\hookrightarrow \: \sf{\dfrac{5x - 4}{6x - 4} = \dfrac{3}{4} }$

On cross multiplying,

$\dashrightarrow \: \sf{4(5x - 4) = 3(6x - 4)}$

$\dashrightarrow \: \sf{20x - 16 = 18x - 12}$

On transposing,

$\dashrightarrow \: \sf{20x - 18x = 16 - 12}$

Now we have

$\dashrightarrow \: \sf{2x = 4}$

Dividing by 2 on both sides,

$\dashrightarrow \: \sf{x = \dfrac{4}{2} }$

$\therefore \: \boxed{ \bf{x = 2}}$

The ratio of numbers = 5x and 6x

• 5x = 5(2) = 10
• 6x = 6(2) = 12

∴ The 2 numbers are 10 and 12