Question

the ratio of present age of asha and lata is 5:6 if the difference between there age is 6 then what is the age of asha after 5 year

Answer 1

Answer:

35 year.

Step-by-step explanation:

Given,

      ratio of present age of Asha and Lata is 5 : 6.

Let the present age of Asha be 5a and Lata be 6a.

According to the question :

⇒ difference between the ages of asha and lata is 6

⇒ Age of Lata - age of Asha = 6

⇒ 6a - 5a = 6

⇒ a = 6

    Hence,  

       Present age of Asha is 5a = 5( 6 ) years = 30 year.

After 5 year she will be 5 year older than present, her age will be 30 year + 5 year = 35 year

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

The ratio of present age of asha and lata is 5:6 if the difference between there age is 6 then what is the age of asha after 5 year

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{\pink{Given}}}}}$

• The ratio of present age of asha and lata is 5:6
• difference between there age is 6

$\Large{\underline{\mathfrak{\bf{\pink{Find}}}}}$

• The age of asha after 5 year

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Let,

• Age of asha = x years
• Age of lata = y years

A/C to question,

( The ratio of present age of asha and lata is 5:6)

➠ x : y = 5:6

➠ x/y = 5/6

➠ 6x - 5y = 0 ...........(1)

Again,

( difference between there age is 6 )

➠ x - y = 6 ...............(2)

multiply by 6 in equation (2),

➠ 6x - 6y = 36 ...........(3)

Subtract equation (1) - equation (2)

➠ (-5y + 6y ) = -36

➠ y = -36

Keep value of y in equ(2),

➠ x - (-36) = 6

➠ x = 6 - 36

➠ x = -30

But, we know, Age of always be in positive

so, neglect -ve sign ,

$\Large{\underline{\mathfrak{\bf{\pink{Thus}}}}}$

• Age of asha = 30 years
• Age of lata = 36 years

Hence,

• Age of asha after 5 years will be = 30+5 = 35 years

$\Large{\underline{\mathfrak{\bf{\orange{verification}}}}}$

Case(1):-

( The ratio of present age of asha and lata is 5:6)

➠ x:y = 5:6

➠ -30 : -36 = 5:6

➠ -30/(-36) = 5/6

Divide by 6,

➠ 5/6 = 5/6

L H.S = R.H.S

Case(2):-

( difference between there age is 6 )

➠(x - y) = 6

Keep value of x and y,

➠ (-30)-(-36)=6

➠ -30 + 36 = 6

➠ 6 = 6

L.H.S. = R.H.S

THAT'S PROVED