Question

the ratio of three numbers is 8:10:12.if the sum of the largest and the smallest numbers equals the third and 110 ,find the number.

Answer 1

Hi,

Now let your three numbers as 8x, 10x and 12x

Now as per question

8x + 12x = 10x + 110

:• 20x = 10x + 110

:• 20x -10x = 110

:• 10x = 110

:• x = 110/10

:• x = 11

So, your numbers are

8x = 8 × 11 = 88

10x = 10 × 11 = 110

12x = 12 × 11 =132

Hope it helps. THANK YOU.

Answer 2

ANSWER :-


The required numbers are 88 , 110 , 132 .


EXPLAINATION :-


Let the three numbers be 8x , 10x and 12x .


According to Question ,


8x + 12x = 10x + 110

20x = 10x + 110

20x -10x = 110

10x = 110

x = 110/10

x = 11


So,


First number :-

8x

8 × 11

88

Second number :-

10x

10 × 11

110

Third number :-

12x

12 × 11

132


Therefore ,


The required numbers are 88 , 110 , 132 .