2.0 Q) A man's age 20 years hence would be thrice his age 20 years ago Find this present age?
Answers
Answer:
The present age of the man will be 40 years.
Step-by-step explanation:
- Let the present age of the man be "x"
- According to the question,
"A man's age 20 years hence would be thrice his age 20 years ago"
⇒ 3 (x - 20) = (x + 20)
⇒ 3x - 60 = x + 20
⇒ 3x - x = 60 + 20
⇒ 2x = 80
⇒ x = 40
Hence, the present age of the man will be forty years or 40 years.
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Concept:
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Given:
A man's age 20 years hence would be thrice his age 20 years ago
Find:
Find the present age of the man
Solution:
Let the present age of the man be "x"
According to the question
"A man's age 20 years hence would be thrice his age 20 years ago"
⇒ 3 (x - 20) = (x + 20)
⇒ 3x - 60 = x + 20
⇒ 3x - x = 60 + 20
⇒ 2x = 80
⇒ x = 40
Hence, the present age of the man will be forty years or 40 years.
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