Three persons A, B and C together have 51/-. B has 4/- less than A. C has got 5/- less than A. Find the money that C has.a.35/-b.20/-c.15/-d.50/-
Question
Three persons A, B and C together have 51/-.
- B has 4/- less than A.
- C has got 5/- less than A.
Find the money that C has.
- a. 35/-
- b. 20/-
- c. 15/-
- d. 50/-
Solution
Let's solve this step by step:
Step 1: Let's assume the amount of money that A has is x.
Step 2: According to the problem, B has 4/- less than A. So, B has (x - 4/-).
Step 3: The problem also states that C has 5/- less than A. So, C has (x - 5/-).
Step 4: The total amount of money that A, B, and C have together is 51/-. So, we can set up the following equation: x + (x - 4/-) + (x - 5/-) = 51/-.
Step 5: Simplify the equation: 3x - 9/- = 51/-.
Step 6: Add 9/- to both sides of the equation to isolate the term with x: 3x = 60/-.
Step 7: Divide both sides of the equation by 3 to solve for x: x = 20/-.
So, A has 20/-.
Step 8: To find the money that C has, subtract 5/- from the money that A has: 20/- - 5/- = 15/-.
So, C has 15/-. The answer is c.15/-.
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