Question

The sum of two numbers is 209. If one number is 7 less than two times of the other, then find the two numbers.

• A. 133 and 74
• B. 137 and 72
• C. 147 and 62
• D. 127 and 82

Answer 1

The correct option is B

137 and 72

Let "x" and "y" be the two numbers.

$\Rightarrow$ x + y = 209 ------(1)

According to the second condition -

x = 2y - 7 -------(2)

Substituting (2) in (1) we get

2y - 7 + y = 209

$\Rightarrow$ y = 72

Put y = 72 in (2) we get

x = 137