Home » Aptitude » Ratio, Proportion » Question
  1. Two numbers are in the ratio 1
    1
    : 2
    2
    .
    23
    Three numbers are in the ratio
    1
    :
    2
    :
    3
    .
    234
    The greater of the numbers is :
    1. 27
    2. 36
    3. 48
    4. 64
Correct Option: C

Let the numbers be

3
x and
8
x
23

According to question,

=
3
x + 15 (5/3)/(5/2)
2
8x
+ 5
3

⇒  
3x + 30
= 2/3
2
8x + 45
3

⇒ 
3(3x + 30)
=
2
2(8x + 45)3

⇒ 
9x + 90
=
2
16x + 903

⇒  27x + 270 = 32x + 180
⇒  32x – 27x = 270 – 180 = 90
⇒  5x = 90 ⇒ x = 18
∴  The greater number
=
8
x =
8
× 18 = 48
33



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