Two numbers are in ratio of 7:9.the large number is 54,find the smaller number

To find the smaller number in a ratio, you need to divide the larger number by the sum of the ratio's terms and then multiply the result by the smaller term of the ratio. Let's go step by step:

1. Identify the ratio: The given ratio is 7:9, which means that the smaller number (we will represent it as x) is 7x and the larger number is 9x.

2. Determine the value of x: We know that the larger number is 54, so we can set up the equation 9x = 54.

Divide both sides of the equation by 9 to solve for x:
9x/9 = 54/9
x = 6

3. Calculate the smaller number: Now that we know the value of x, we can calculate the smaller number (7x).

Substitute the value of x into the equation:
7 * 6 = 42

Hence, the smaller number is 42.

7*54=378

378 divided by 9 =42

7*54=378

378 divided by 9=42
42:54
42 divided by 6=7
54 divided by 6=9
which =7:9

My answer is 42

Your answer is correct. The smaller number is 42.

Information

I'm sorry, I don't understand what you're looking for. Could you please clarify?

54=9*6, so

7:9 = 7*6 : 9*6 = 42:54

7/9 = N/54.

N = 42.