Question

The present ages of Mahesh and his father are 20 years and 50 years respectively. How many years ago was Mahesh's father 4 times old as Mahesh then?

Answer 1

Given:

• Present age of Mahesh is 20 yrs
• Present age of his Father is 50 yrs

To find:

How many years ago was Mahesh's father 4 times old as Mahesh then?

Solution:

Let the number of yrs be $\bold \pink{x}$

Mahesh age =20-x

Father's age=50-x

Let the number of yrs be $\bold \pink{according \:to \:question:}$

$\sf{4(20-x)=50-x}$

$\sf{80-4n=50-x}$

$\sf{30=3x}$

$\sf{n=10}$

Therefore 10 yrs ago Mahesh's father 4 times as old as mahesh...

Answer 2

Answer:

$\huge{\underline{\mathfrak \purple{Answer}}}$

$\huge{\underbrace{\boxed{\tt \red{10 \: years.}}}}$

Step-by-step explanation:

$\tt\pink{ \overbrace{According \: to \: the \: question,}}$

Present age of Mahesh = 20 years

Present age of Mahesh's father = 50 years

Let us say that 'x' years ago the age of Mahesh's father was 4 times of Mahesh.

$\tt\pink{\overbrace{So,}}$

Age of Mahesh's father 'x' years ago = $\boxed{\tt{(50 - x)}}$

Age of Mahesh 'x' years ago = $\boxed{\tt{(20 - x)}}$

$\tt\pink{\overbrace{So,}}$

$\tt{(50 - x) = 4(20 - x)}$

$\tt{50 - x = 80 - 4x}$

$\tt{3x = 30}$

$\underline{\tt \red{x = 10}}$

• Therefore, 10 years ago the age of Mahesh's father was 4 times as that of Mahesh's age.

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