Question

The ratio of two numbers a and b is 3:5. If 2 is added to both the numbers, the ratio becomes 2:3. Find b.

Answer 1

Answer:

ANSWER IS 2×5 = 10

Step-by-step explanation:

(3x + 2 ) / (5x + 2) =   2 / 3  ( ACCORDING TO THE QUESTION ( GIVEN))

3 ( 3x + 2 ) = 2 ( 5x + 2 )  { CROSS MULTIPLICATION OF MULTIPLICATION }

9x + 6 = 10x + 4

10x - 9x = 6 - 4

x = 2

SINCE X = 2

A = 3  ×  2 = 6 ;

B = 5 ×  2 = 10 ;

VERIFICATION -:

6 + 2  / 10 + 2 =

8/12 ,

WHICH IN THE SIMPLEST FORM , BECOMES 2 /3

SO, THE FINAL ANSWER IS 10;

THANK YOU .

NICE DAY . MAY SUCCESS BE WITH YOU

Answer 2

Question:

The ratio of the two numbers a and b is 3:5. If 2 is added to both the numbers, then the ratio becomes 2:3. Find the numbers a and b.

Solution:

It is given that;

The ratio of two numbers a and b is 3:5.

Thus;

Let the first number (a) be 3x

and the second number (b) be 5x.

Also,

It is said that, if 2 is added to both the numbers, then the ratio becomes 2:3.

Thus;

=> (3x + 2):(5x + 2) = 2:3

=> (3x + 2)/(5x + 2) = 2/3

=> 3(3x + 2) = 2(5x + 2)

=> 9x + 6 = 10x + 4

=> 10x - 9x = 6 - 4

=> x = 2

Thus,

a = 3x = 3•2 = 6

b = 5x = 5•2 = 10

Thus,

The required numbers a and b are 6 and 10 respectively.