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The ages of Sam and Liza are in the ratio 5 :7. Four years later the sum of their ages will be 56 years. What are their present ages?

User Ira Watt
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Answer:So, Sam is currently 20 years old, and Liza is currently 28 years old.

Step-by-step explanation:Let's use algebra to solve this problem.

Let S represent Sam's current age, and let L represent Liza's current age. According to the given information, their ages are in the ratio 5:7, so we can write:

S/L = 5/7

Now, let's express their ages in terms of a common variable:

S = 5x

L = 7x

Now, we are told that four years later, the sum of their ages will be 56 years. So, we can write an equation based on this information:

(S + 4) + (L + 4) = 56

Now, substitute the expressions for S and L from above:

(5x + 4) + (7x + 4) = 56

Now, simplify and solve for x:

5x + 7x + 8 = 56

Combine like terms:

12x + 8 = 56

Subtract 8 from both sides:

12x = 56 - 8

12x = 48

Now, divide by 12 to solve for x:

x = 48 / 12

x = 4

Now that we have found the value of x, we can determine Sam and Liza's current ages:

S = 5x = 5 * 4 = 20

L = 7x = 7 * 4 = 28

So, Sam is currently 20 years old, and Liza is currently 28 years old.

User Ravneet
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