Question

two numbers are in the ratio of 1:2 if 7 is added to both and new ratio is 3:5 find the greatest number​

Answer 1

Answer:

The greatest number is 28.

Explanation:

Given ratio of two numbers is - 1 : 2

If 7 is added to both the numbers the ratio becomes 3 : 5

Let's assume,

• smallest number = 1x
• And, greater number = 2x

Adding 7 to both the numbers we get,

• Smallest number = (1x + 7)
• Greater number = (2x + 7)

Now,

Forming in ratio :

⇒ (1x + 7) : (2x + 7)

But, it's given the ratio becomes 3 : 5

According to the question,

⇒ (1x + 7)/(2x + 7) = 3/5

⇒ 5(1x + 7) = 3(2x + 7) [Cross multiplication ]

⇒ 5x + 35 = 6x + 21

⇒ 35 - 21 = 6x - 5x

⇒ 14 = x

∴ The value of ‘x’ is 14.

Hence, the greatest number is,

⇒ 2x = 2(14) = 28

Answer 2

Answer:-

According to the Question

Let the ratio be x : 2x

It is given that 7 is added to the given number so new ratio is 3:5 .

$:\implies$ x +7 = 2x+7

Now, we can also write this ratio in fraction .

$:\implies$ x+7/2x+7

After adding 7 both side new ratio is 3:5 . So we can aslo write in fraction.

$:\implies$ 3/5

Equate the equation (according to the question)

$:\implies$ x+7/2x+7 = 3/5

$:\implies$ 5(x+7) = 3(2x+7)

$:\implies$ 5x +35 = 6x + 21

$:\implies$ 35 -21 = 6x -5x

$:\implies$ 14 = x

$:\implies$ x = 14

So, the value of x is 14

Greatest number = 2x = 2×14 = 28

• Hence, the greatest number is 28 .