Question

The present ages of Amayra and Deepika are in the ratio 11:8. 8 years later the sum of their ages will be 54 years. What are their present ages?​

Answer 1

Answer:

let the present ages of Amayra be 11x yrs and Deepika's be 8x.

after 8 yrs,

Amayra age= 11x + 8 yrs

Deepika age= 8x+8 yrs

according to the question,

11x+8+8x+8=54

19x+16= 54

19x= 54-16

x= 38/19

x=2

Step-by-step explanation:

Amayra present age= 11x

= 11×2

=22yrs

Deepika present age= 8x

= 8×2

= 16 yrs

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Answer 2

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

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

• The present ages of Amayra and Deepika are in the ratio 11:8.
• 8 years later the sum of their ages will be 54 years

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

• Present age of Amayra & Deepika

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

Let,

• Age of Amayra = x years
• Age of Deepika = y years

A/C to question ,

(The present ages of Amayra and Deepika are in the ratio 11:8)

➩ x : y = 11:8

➩x/y = 11/8

➩ 8x - 11y = 0 ----------(2)

Again,

(8 years later the sum of their ages will be 54 years)

➩ (x+8)+(y+8) = 54

➩ x + y = 54 - 16

➩ x + y = 38 ---------(2)

Multiply by 8 in equ(2)

➩ 8x + 8y = 304 ------(3)

Subtract equ(1) & equ(3)

➩ -11y - 8y = -304

➩ - 19y = -304

➩ y = (-304)/(-19)

➩y = 16

Keep Value of y in equ(2)

➩ x + 16 = 38

➩ x = 38 - 16

➩ x = 22

Hence

• Present age of Amayra = 22 years
• Present Age of Deepika = 16 years

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