Question

Two number are in the ratio 2 ratio 3 if 9 is added to each they will be e in the ratio 3 ratio 4 the number are

Answer 1

Answer:

18 &27

Step-by-step explanation:

Given : 2 : 3 ⇒ the 2 no, be 2x ,3x

2x+9  : 3x+9 = 3 : 4

4(2x+9) = 3(3x+9)

8x+36 =9x +27

∴x=9

the numbers are 2x &3x ⇒ 2(9)  & 3(9) =18 &27

Answer 2

The two numbers are 18 and 27

Explanation:

Given:

1. Ratio of two numbers is 2:3

2. 9 is added to each the ratio will be 3:4

To find:

The numbers

Solution:

==> Ratio of two numbers = 2:3

==> Assume that two numbers are a and b

==> a = 2x

==> b = 3x

==> 9 is added to the numbers

==> The numbers will be 2x+9 and 3x+9

==> The ratio is 3:4

==> 2x+9 : 3x+9 = 3:4

==> $\frac{2x+9}{3x+9}=\frac{3}{4}$

==> Doing cross multiplication,

==> 4(2x+9)=3(3x+9)

==> 8x+36 = 9x+27

==> Separating x and constant

==> 9x-8x = 36-27

==> x = 9

==> a = 2(9)

==> a = 18

==> b = 3(9)

==> b = 27

==> The two numbers are 18 and 27