Question

The ratio of two numbers is 4 : 9. When 6 is added to the smaller number, the sum
becomes half of the sum of the greater number and 6. Find the number.​

Answer 1

Answer:

Let the common multiple be X

The larger number=9x

The smaller number=4x

A/Q,

4x+6=1/2(9x+6)

4x+6=9x/2+3

4x-9x/2=3-6

8x-9x/2=-3

-x/2=-3

x=3*2

x=6(Ans)

Answer 2

Answer:

Step-by-step explanation:

Let the number be=x

4x:9x

6 added to smaller number=6+4x

so, according to question

6+4x= (9x+6)/2

=>2(6+4x)=9x+6

=>12+8x=9x+6

=>12-6=9x-8x

=>6=x

Therefore,

6x=