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?
Answers
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
Hope this helps you
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- 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
- Present age of Amayra & Deepika
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