Question

two number are in ratio 4:5. if 6 and 5 are added to the first and second number respectively the ratio becomes 5:6 find the number

Answer 1

Step-by-step explanation:

Let the two numbers be 4x and 5x respectively.

• It is give in question that, if 6 is added to the first number :]

➳ 4x + 6

• It is also given that, 5 is added to the second number :]

➳ 5x + 5

According to question now,

➳ (4x + 6)/(5x + 5) = 5:6

➳ (4x + 6)6 = 5(5x + 5)

➳ 24x + 36 = 25x + 25

➳ 36 - 25 = 25x - 24x

➳ x = 11

Therefore,

• Required first number = 4x = 4(11) = 44

• Required second number = 5x = 5(11) = 55

Answer 2

Answer:

The two numbers are 44 and 55 respectively.

Step-by-step explanation:

Given :-

• Two numbers are in ratio 4:5.
• If 6 and 5 are added to the first and second number respectively, the ratio becomes 5:6.

To find :-

• Two numbers.

Solution :-

Let the first number be 4x and the second number be 5x .

★ If 6 and 5 are added to the first and second number respectively, the ratio becomes 5:6.

If 6 is added to the first number, the first number will be = (4x+6)

&

If 5 is added to the second number, the second number will be =(5x+5)

According to the question,

(4x+6):(5x+5) = 5:6

$\to\sf{\dfrac{4x+6}{5x+5}=\dfrac{5}{6}}$

→ 25x +25 = 24x+36

→ 25x-24x = 36-25

→ x = 11

Then,

• First number= 4×11 = 44
• Second number = 5×11 = 55