Question

The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?

• A. 30
• B. 40
• C. 50
• D. 60

Hint:

For ratio problems, express numbers as multiples of a variable and solve using their sum or difference.

Answer 1

The Correct Option is B

The problem involves two numbers with a given ratio of 3:4 and their sum is 70. To find the larger number, follow these steps:

Let the two numbers be \(3x\) and \(4x\), reflecting the ratio of 3:4. Their sum is given as:

\[3x + 4x = 70\]

Simplify the equation:

\[7x = 70\]

To find \(x\), divide both sides by 7:

\[x = \frac{70}{7} = 10\]

Now substitute \(x\) back to find the values of the numbers:

The first number is:

\[3x = 3 \times 10 = 30\]

The second number, which is also the larger number, is:

\[4x = 4 \times 10 = 40\]

Therefore, the larger number is 40.