Question

The difference between the ages of two persons is 25 years and the sum of their ages is 125 years what is the sum of half the age of the younger person and one-fifth the age of the elder person?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The sum of half the age of the younger person and one-fifth the age of the elder person is 40 years.

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Let's solve the given problem:

Let the age of the younger person be represented as "x" years.

The difference between the ages of the two persons is 25 years

So, the age of the elder person will be "(x + 25)" years.

The sum of their ages is 125 years, so we can form an equation as,

x + (x + 25) = 125

⇒ x + x+ 25 = 125

⇒ 2x = 125 - 25

⇒ 2x = 100

⇒ x = 50

∴ The younger person's age = x = 50 years

and

∴ The elder person's age = x + 25 = 50 + 25 = 75 years

Now,

The sum of half the age of the younger person and one-fifth the age of the elder person is,

= [$\frac{1}{2}$ × Younger person's age] + [$\frac{1}{5}$ × Elder's person's age]

= $[\frac{1}{2} \times 50] + [\frac{1}{5} \times 75]$

= $25 + 15$

= $\bold{40\: years}$

Thus, the sum of half the age of the younger person and one-fifth the age of the elder person is 40 years.

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