{"id":18937,"date":"2025-06-13T11:22:32","date_gmt":"2025-06-13T11:22:32","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=18937"},"modified":"2025-06-13T11:22:35","modified_gmt":"2025-06-13T11:22:35","slug":"when-5-is-added-to-six-times-a-number-the-result-is-35","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/when-5-is-added-to-six-times-a-number-the-result-is-35\/","title":{"rendered":"When 5 is added to six times a number, the result is 35"},"content":{"rendered":"\n

When 5 is added to six times a number, the result is 35. What is the number?<\/p>\n\n\n\n

The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n

Let’s solve the problem step-by-step:<\/p>\n\n\n\n

Problem:<\/strong>
When 5 is added to six times a number, the result is 35. Find the number.<\/p>\n\n\n\n

\n\n\n\n

Step 1: Define the variable<\/h3>\n\n\n\n

Let the unknown number be x<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Step 2: Translate the words into an equation<\/h3>\n\n\n\n
    \n
  • “Six times a number” means 6\u00d7x=6×6 \\times x = 6x.<\/li>\n\n\n\n
  • “5 is added to six times a number” means 6x+56x + 5.<\/li>\n\n\n\n
  • “The result is 35” means the total equals 35.<\/li>\n<\/ul>\n\n\n\n

    So the equation is: 6x+5=356x + 5 = 35<\/p>\n\n\n\n

    \n\n\n\n

    Step 3: Solve the equation<\/h3>\n\n\n\n

    Subtract 5 from both sides to isolate the term with xx: 6x+5\u22125=35\u22125\u2005\u200a\u27f9\u2005\u200a6x=306x + 5 – 5 = 35 – 5 \\implies 6x = 30<\/p>\n\n\n\n

    Divide both sides by 6 to solve for xx: x=306=5x = \\frac{30}{6} = 5<\/p>\n\n\n\n

    \n\n\n\n

    Final Answer:<\/h3>\n\n\n\n

    5\\boxed{5}<\/p>\n\n\n\n

    \n\n\n\n

    Explanation (300 words):<\/h3>\n\n\n\n

    This problem is a classic example of forming and solving a linear equation based on a word problem. The key to solving such problems is to carefully translate the words into a mathematical expression, assign variables correctly, and then use algebraic manipulation to find the value of the unknown.<\/p>\n\n\n\n

    In this problem, the phrase “six times a number” translates directly to multiplying an unknown variable (which we call xx) by 6, resulting in 6x6x. Next, the phrase “when 5 is added to six times a number” tells us to add 5 to this product, giving the expression 6x+56x + 5.<\/p>\n\n\n\n

    The phrase “the result is 35” sets this entire expression equal to 35, leading to the equation 6x+5=356x + 5 = 35.<\/p>\n\n\n\n

    To find xx, we isolate it by first removing the constant term on the left side. Subtracting 5 from both sides keeps the equation balanced and leaves 6x=306x = 30. Dividing both sides by 6 removes the coefficient of xx, leaving us with x=5x = 5.<\/p>\n\n\n\n

    Thus, the number we were looking for is 5. This solution is easily verified by plugging x=5x = 5 back into the original expression: 6\u00d75+5=30+5=356 \\times 5 + 5 = 30 + 5 = 35, which matches the problem statement perfectly.<\/p>\n\n\n\n

    This example highlights the power of algebra in converting real-world problems into solvable mathematical expressions, emphasizing the importance of understanding the relationship between words and numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"

    When 5 is added to six times a number, the result is 35. What is the number? The correct answer and explanation is: Let’s solve the problem step-by-step: Problem:When 5 is added to six times a number, the result is 35. Find the number. Step 1: Define the variable Let the unknown number be x. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-18937","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18937","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=18937"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18937\/revisions"}],"predecessor-version":[{"id":18938,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18937\/revisions\/18938"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=18937"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=18937"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=18937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}