Question

The ratio of present age of Ramesh and Mahesh is 5 : 7. After four years the ratio of their age will be 3 : 4. Find out their present age.

Answer 1

EXPLANATION.

• GIVEN

ratio of present age of ramesh and mahesh

is 5:7

after four years the ratio of their age will be

3:4

TO FIND OUT THEIR PRESENT AGE.

Let,

the present age of ramesh be = 5x

the present age of mahesh be = 7x

after four years,

age of ramesh will be = 5x + 4

age of mahesh will be = 7x + 4

$\frac{5x + 4}{7x + 4} = \frac{3}{4}$

4( 5x + 4 ) = 3 ( 7x + 4 )

20x + 16 = 21x + 12

4 = x

age of ramesh = 5(x) = 5(4) = 20

age of mahesh = 7x = 7(4) = 28

Therefore,

present age of ramesh will = 20 years

Present age of mahesh will = 28 years

Answer 2

$\huge \underline{ \blue{ \boxed{ \bf \red{Answer:-}}}}$

The present age of Ramesh is 20 years

The present age of Mahesh is 28 years

Step-by-step explanation:

Let,

The present age of Ramesh = 5x

The present age of Mahesh = 7x

After four years,

The age of Ramesh = ( 5x + 4 )

The age of Mahesh = ( 7x + 4 )

And

The ratio of thier age will be 3 : 4

So,

⇒ 4 (5x +4) = 3 (7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ 20x - 21x = 12 - 16

⇒ -1x = - 4

⇒ 1x = 4

⇒ x = 4

★ Value of 5x :

⇒ 5 (4)

⇒ 5 × 4

⇒ 20

★ Value of 7x:

⇒ 7 (4)

⇒ 7 × 4

⇒ 28

Therefore,

The present age of Ramesh is 20 years.

The present age of Mahesh is 28 years.

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