Present age of bitu is 2 more than 2 times of sidhi age.4 years before bitu age was 8 times of sidhi age.find the present age of bitu and sidhi.
Answers
Answer:
The present ages of Bitu and Sidhi are 12 years and 5 years respectively.
Step-by-step-explanation:
Let the present age of Sidhi be x years.
From the first condition,
Present age of Bitu = ( 2x + 2 ) years
Now,
Age of Sidhi four years ago = ( x - 4 ) years
Age of Bitu four years ago = ( 2x + 2 - 4 ) = ( 2x - 2 ) years
From the second condition,
Age of Bitu four years ago = 8 ( x - 4 )
⇒ ( 2x - 2 ) = 8 ( x - 4 )
⇒ 2x - 2 = 8x - 32
⇒ - 2 + 32 = 8x - 2x
⇒ 6x = 30
⇒ x = 30 ÷ 6
⇒ x = 5
Now,
Present age of Sidhi = x = 5 years
Present age of Bitu = ( 2x + 2 ) = ( 2 * 5 + 2 )
⇒ Present age of Bitu = 12 years
∴ The present ages of Bitu and Sidhi are 12 years and 5 years respectively.
Present age of
Bitu = 12 years
Sidhi = 5 years
Step-by-step explanation:
QUESTION :-
Present age of Bitu is 2 more than 2 times of Sidhi age. 4 years before Bitu age was 8 times of Sidhi age. Find the present age of Bitu and Sidhi.
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SOLUTION :-
Let,
the present age of Sidhi as x
So,
4 years before age of Sidhi = x - 4
And,
Bitu's present age = 2x + 2
4 years before Bitu's age = 2x + 2 - 4
= 2x - 2
A.T.Q,
4 years ago,
Bitu's age = 8 × Sidhi's age
=> 2x - 2 = 8 × (x - 4)
=> 2x - 2 = 8x - 32
=> 2x - 8x = - 32 + 2
=> - 6x = - 30
=> x = (-30) ÷ (-6)
=> x = 5
Hence,
Present age of Sidhi = x = 5 years
And,
Present age of Bitu = 2x + 2
= 2(5) + 2
= 10 + 2
= 12 years
So,
The present ages of Bitu and Sidhi are 12 years and 5 years respectively.
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Hope it helps.
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