If 3/5 is added to twice the reciprocal of a number , the result is 1. Find the number.
3/5+2/x=1
2/x=1-3/5
2x=5-3/5
2x=2/5
(Cut both the 2s because it will become divide when it comes this side)
x=5
To find the number, we can follow these steps:
Step 1: Let's assume the unknown number as 'x'.
Step 2: "Twice the reciprocal of a number" can be expressed as 2(1/x) or 2/x.
Step 3: According to the problem, we need to add 3/5 to twice the reciprocal of the number. So, the equation becomes:
2/x + 3/5 = 1
Step 4: To simplify the equation, let's first put the fractions over a common denominator. The common denominator in this case is 5x:
(2*5 + 3x) / 5x = 1
Step 5: Simplifying further:
(10 + 3x) / 5x = 1
Step 6: Cross multiply to get rid of the proportions:
10 + 3x = 5x
Step 7: Subtract 3x from both sides of the equation:
10 = 2x
Step 8: Divide both sides by 2:
x = 5
Therefore, the number is 5.
3/5 + 2/x = 1
now just solve for x
3/5 + 2/x = 1
2/x = 1 - 3/5
2/x = 5/5 - 3/5
2/x = 2/5
x = 2/5 * 2
x = 4/5