Question

the ratio of two numbers is 3:4 if 7 out of every number is reduced, then the ratio is 2:3 find out the numbers.​

Answer 1

given ratio between two numbers is 3 : 4

ATQ, if 7 is reduced from both the numbers, then the ratio becomes 2 : 3

let the numbers be 3x and 4x respectively.

subtracting 7 from both numbers we get,

(3x - 7) and (4x - 7)

➡ (3x - 7)/(4x - 7) = 2/3

cross multiplying

➡ 3(3x - 7) = 2(4x - 7)

➡ 9x - 21 = 8x - 14

➡ 9x - 8x = -14 + 21

➡ x = 7

hence, the numbers are :-

• 3x = 3 × 7 = 21

• 4x = 4 × 7 = 28

Answer 2

$\huge\underline\textbf{Answer:-}$

$\tiny\textbf{3 : 4 is the Ratio given between two numbers </p><p>:-}$

$\tiny\textbf{7 is reduced from both the numbers,hence the ratio now is 2 : 3:-}$

$\tiny\textbf{Let 3x and 4x be the numbers:-}$

Let us subtract 7 from both the numbers:-

$=>(3x - 7),(4x - 7)$

$=>(3x - 7)/(4x - 7) = 2/3$

Cross multiplication:-

$=>3(3x - 7) = 2(4x - 7)$

$=>9x - 21 = 8x - 14$

$=>9x - 8x = -14 + 21$

$=>x = 7$

Therefore, the both numbers are:-

$=>3x = 3 × 7 = 21$

$=>4x = 4 × 7 = 28$