Question

Thé ratio of between two numbers is 7:9 if each number is increased by 44 then the ratio become 11 : 13 .find their difference.

Answer 1

Answer:

◦•●◉✿Another question answer✿◉●•◦

The ratio of two numbers is 7:10 and their difference is 105. What are the numbers?

Let those two numbers be x and y

Ratio is 7:10

x/y = 7/10

10x = 7y ———-(1)

[y = 10x/7 ]

Also it is given that,

Either x - y = 105 or y - x = 105

But from equation (1) it is clear that “y” must be a bigger number than “x” because x is multiplied 10 times to get equal to 7 times y.

So,

Valid equation will be:

y - x = 105 ————-(2)

10x/7 - x = 105 ( from equation 1 )

10x - 7x = 735

3x = 735

x = 245

Put x = 245 in equation (2)

y - 245 = 105

y = 350

Ans. X = 245 and Y = 350

Answer 2

Answer:

Let the first number be 9x and the second number be 7x

⇒ 153x + 102 = 147x + 126

⇒ 6x = 24

⇒ x = 4

⇒ Difference between two numbers = 9x - 7x = 2x = 8

⇒ Difference between two numbers is 8.