Algebra

posted by .

Consider the numbers 1,2,3, and 5.
If the same numer is added to each of the numbers, it is found that the ratio of the first new number to the second is the same as the ratio of the third new number to the fourth. Find the number. Please help... I do not know how to set this up.

Heather


Let x be the number you want to find.

(x+1)/(x+2) = (x+3)/(x+5)
Multiply that out to get
x^2 + 6x + 5 = x^2 + 5x + 6
Cancel out the x^2 terms. Solve for x. Pretty easy.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry-finding ratio

    Ratio of the heights of two similar cones is 7/9 what is the ratio of their radii?
  2. Ratio

    Three numbers are in the ratio of 3:5:7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Find the numbers.
  3. algebra

    3 numbers are in the ratio 3:5:7. if the larger number is multiplied by 3, the result is 26 more then the sum of the first and second numbers. Use an algebric solution to find the numbers
  4. Grade 8 Math

    Can you write them in Mathematical/numbers form I'll solve them myself. i don't really get it though i have written the first one in mathematical for but i'm not sure if that's right. 1. When six is subtracted from five times a certain …
  5. Geometry

    The sum of four numbers is 771. The ratio of the first to the second is 2:3. The ratio of the second to the third is 5:4. The ratio of the third to the fourth is 5:6. Find the second number.
  6. math

    three numbers are in the ratio 6:3:1, and the sum of these numbers is 420. If the first number is reduced by 50%, the second number is increased by 42, and the sum of the numbers remains the same, find the resulting ratio of the numbers.
  7. Math

    Is the following statement always, sometimes, or never true for numbers greater than zero: "In equivalent ratios, if the numerator of the first ratio is greater than the denominator of the first ratio, then the numerator of the second …
  8. Math

    Ms. Henderson’s 5 art classes are turning in their final projects for the year. The table shows the numbers and type of project turned in during her first 4 classes. Part A Write the ratio of paintings to sculptures for each class …
  9. Red House Primary School

    Sally is thinking of a ratio.the simplest form of the ratio is 2:3.if she subtracts 1 from the first number in her ratio and adds 2 to the second number of her ratio,the simples form of new ratio is 1:2.Find the ratio that Sally is …
  10. maths

    2 Numbers are in the ratio 2:3. if 8 is added to both the numbers ,then the ratio becomes 3:4 . then the numbers are ?

More Similar Questions