Question

Two numbers are in the ratio of 5:7 if the difference is 96. Fint the number

Answer 1

Let the two numbers be \( 5x \) and \( 7x \), where \( x \) is a common multiplier.

According to the problem, the difference between the two numbers is 96. Therefore, you can write the equation:

\[
7x - 5x = 96
\]

Simplifying this, we get:

\[
2x = 96
\]

Now, divide both sides by 2:

\[
x = 48
\]

Now that we have \( x \), we can find the two numbers:

1. First number: \( 5x = 5 \times 48 = 240 \)
2. Second number: \( 7x = 7 \times 48 = 336 \)

Thus, the two numbers are **240** and **336**.