the difference of a larger number and a smaller number is 6. the sum of the larger number and twice the smaller is 15. what is the larger number?
Choose the correct choice from the following: A) 7 B) 8 C) 9 D) 10 E) 11
<gadget id="calculator">2 * 6</gadget>
<output>12</output>

<gadget id="calculator">15 + 12</gadget>
<output>27</output>

<gadget id="calculator">1 + 2</gadget>
<output>3</output>

<gadget id="calculator">27 / 3</gadget>
<output>9</output>

<result>C</result>
the difference of a larger number and a smaller number is 6. the sum of the larger number and twice the smaller is 15. what is the larger number?
divide(add(15, multiply(const_2, 6)), add(const_1, const_2))
let x be the larger number and y be the smaller number . x - y = 6 x + 2 ( y ) = 15 solve by substitution : y = x - 6 x + 2 ( x - 6 ) = 15 x + 2 x - 12 = 15 3 x = 27 x = 9 the larger number is 9 , so answer c is correct .