Question

Two numbers are in the ratio of 9:14. If the larger number is 55 more than smaller number, find the numbers​

Answer 1

Answer:

99,154

Step-by-step explanation:

Let the nos. be 9x and 14x,

ATQ,

14x=9x+55

14x-9x=55

5x=55

X=11

Required nos.=99,154

Answer 2

Given:

Two numbers are in the ratio of 9:14 and the larger number is 55 more than the smaller number.

To find:

We have to find the numbers.

Solution:

To determine the numbers we have to follow the below steps as follows-

Two numbers are in the ratio of 9:14.

Let the larger number is 14x and the smaller number is 9x.

So, their difference is 14x-9x=5x.

Given that the larger number is 55 more than the smaller number.

So, we can write-

$5x = 55 \\ x = 11$

The value of x is 11.

Thus, the numbers are 14×11=154 and 9×11=99.

Thus, the numbers are 154 and 99.