Question

Two numbers with the sum of 324 are in a ratio of 5 7. If 9 is added to smaller
number, what is the new ratio of smaller number to bigger number?​

Answer 1

Answer:

then numbers will be 2x and 3x

when 9 is added to each they become (2x+9)and (3x+9)

so their ratio

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

8x+36=9x++27

x=36–27

x=9 so the original numbers will be

2x=2*9=18 and 3x=3*9=27

so their product will be

18*27=486

Answer 2

Given,

Sum of the two numbers = 324,

The ratio of these numbers = 5:7,

To find,

New ratio when 9 is added to the smaller number.

Solution,

Here, the given numbers are in the ratio of 5:7.

So, let the two numbers be, 5x and 7x, which are smaller and larger ones respectively.

Now, the sum of these two is 324

⇒ 5x + 7x = 324

⇒ 12x = 324

⇒ x = 27

So, from this value of x, we can find both the numbers, as,

Smaller number = 5x = 5(27) = 135, and,

Larger number = 7x = 7(27) = 189.

Now, it is given that 9 is added to the smaller number. So, the new smaller number will be,

135 + 9 = 144.

So the new ratio of the smaller number to the bigger number,

smaller:bigger = 144:189

= 16:21

Therefore, the new ratio of smaller to the bigger number will be 16:21.