Question

Two numbers are in the ratio 5:9, if 7 is added
to both, the ratio becomes 3:4. The largest
number is
(A) 10
(B) 5
(C) 6
(D) 9​

Answer 1

$\sf{\huge{\underline{\green{Given :-}}}}$

• Two numbers are in the ratio 5:9, if 7 is added to both, the ratio becomes 3:4.

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The largest number .

$\sf{\huge{\underline{\green{Answer :-}}}}$

According to the question,

Two numbers are in the ratio 5:9 .

So, let the number be 5x / 9x .

7 is added to both the number.

$\dfrac{5x + 7}{9x + 7}$

The ratio becomes 3:4.

$\dfrac{5x + 7}{9x + 7}$ = $\dfrac{3}{4}$

➝ 4(5x + 7) = 3(9x + 7)

➝ 20x + 28 = 27x + 21

➝ 20x - 27x = 21 - 28

➝ - 7x = -7

➝ x = -7/-7

➝ x = 1

The numbers are :-

• 5x = 5 × 1 = 5

• 9x = 9 × 1 = 9

The largest number is 9.

Answer 2

Answer:

Step-by-step explanation: