Question

The ratio of two numbers is 8: 5. If 8 is added to the greater number and 5 is
subtracted from the smaller number, the greater number becomes twice the
smaller number. Find the smaller number,

(1) 15 (2) 75
(3) 25 (4) 45​

Answer 1

$The ratio of two numbers is 8:5. If 8 is added to the greater number and 5 is subtracted from a smaller number, the greater number becomes twice the smaller number. Can you find the smaller number?</p><p></p><p>Ad by modfatsnewsh.com</p><p></p><p>His interview became a sensation!</p><p></p><p>He put an interviewer on blast after they asked him about his new project.</p><p></p><p>Learn More</p><p></p><p>16 Answers</p><p></p><p></p><p></p><p>Seshadri Kesavan, BE CSE from Madras Institute of technology</p><p></p><p>Answered 3 years ago · Author has 474 answers and 1.2M answer views</p><p></p><p>Originally Answered: The ratio of two numbers is 8:5, if 8 is added to a greater number and 5 is subtracted from a smaller number, the greater number becomes twice the smaller number. Can you find the smaller number?</p><p></p><p>Let the two required numbers be 8x and 5x.</p><p></p><p>Obviously, 8x>5x.8x>5x.</p><p></p><p>Add 8 to 8x and subtract 5 from 5x.</p><p></p><p>The given problem states that the result of addition is two times (i.e., twice) the result of the subtraction.</p><p></p><p>i.e.,</p><p></p><p>8x+8=2(5x−5)8x+8=2(5x−5)</p><p></p><p>Now, we have to find x. Distribute 2 over the term 5x-5.</p><p></p><p>8x+8=2(5x)−2(5)8x+8=2(5x)−2(5)</p><p></p><p>⟹8x+8=10x−10 \\ ⟹8x+8=10x−10</p><p></p><p>Bring x terms to left hand side and constant terms to right hand side.</p><p></p><p>8x−10x=−10−88x−10x=−10−8</p><p></p><p>⟹−2x=−18⟹−2x=−18</p><p></p><p>⟹x=−18−2⟹x=−18−2</p><p></p><p>⟹x=9⟹x=9</p><p></p><p>The required numbers are:</p><p></p><p>8x=8×9=72 and 8x=8×9=72 and </p><p></p><p>5x=5×9=45.</p><p></p><p></p><p>$