Question

Swena is 29 years younger than her father and the son age is 26 years old

Answer 1

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✰ Correct Question :

• Sweena is 29 years younger than her father and 26 years older than her son. The sum of the ages of all three is 135. What is the age of each of them??

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✰ AnSwer :

• Age of Sweena's son is 18 years.
• Age of Sweena is 44 years.
• Age of Sweena's father is73 years.

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✒ GiVen :

• Sweena is 29 years younger than her father and 26 years older than her son.
• Also, the sum of the ages of all three is 135.

✒ To Find :

We need to find age of :-

• Sweena = ?
• Sweena's son = ?
• Sweena's father = ?

✒ SoluTion :

• Let the age of Sweena's son be x .
• Let Sweena's age be x + 26 .
• Also, Sweena's father age be x+26+29 = x + 55.

Now,

★ According to the given conditions,

➔x + (x+26) + (x+55) = 135

➔x + x+26 + x + 55 = 135

➔3x + 81 = 135

➔3x = 54

➔x = 54/3

➔x = 18

Therefore,

• Age of Sweena's son = x = 18 year's.

★ Age of sweena :-

➠ x + 26

➠ 18 + 26

➠ 44 year's

★ Age of Sweena's father :-

➠ x + 26 + 29

➠ x + 55

➠ 18 + 55

➠ 73 year's

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✰ Verification :

It is given that sum of all the 3 is 135. So let's verify it by checking the sum.

➥x + (x+26) + (x+55) = 135

➥18 + 18 + 26 + 18 + 55 = 135

➥ 135 = 135

➥ LHS = RHS

★ Hence verified !!

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Answer 2

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$\sf{\underline{\boxed{\green{\large{\bold{ Question}}}}}}$

• Sweena is 29 years younger than her father and 26 years older than her son. The sum of the ages of all three is 135. What is the age of each of them??

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$\sf{\underline{\boxed{\green{\large{\bold{ Given:-}}}}}}$

• Sweena is 29 years younger than her father and 26 years older than her son.
• the sum of the ages of all three = 135.

$\sf{\underline{\boxed{\green{\large{\bold{ To\: Find}}}}}}$

• Sweena's age = ?
• Sweena's son's age = ?
• Sweena's father's age = ?

$\sf{\underline{\boxed{\green{\large{\bold{ Soultion}}}}}}$

• Let the Sweena's son's age be x .
• Let Sweena's age be x + 26 .
• Sweena's father's age be x+26+29 = x + 55.

According to the question :-

⟹x + (x+26) + (x+55) = 135

⟹x + x+26 + x + 55 = 135

⟹3x + 81 = 135

⟹3x = 54

⟹x = 54/3

⟹x = 18

Therefore,

Sweena's son's age = x = 18 year's.

$\sf{\underline{\boxed{\pink{\large{\mathfrak{sweena's \: son's \: age \: = \: 18years }}}}}}$

⟹ sweena's age = x + 26

⟹ sweena's age = 18 + 26

⟹ sweena's age = 44 years

$\sf{\underline{\boxed{\pink{\large{\mathfrak{Sweena's \: age \: = \: 44 years}}}}}}$

⟹ Sweena's father's age = x + 26 + 29

⟹ Sweena's father's age = x + 55

⟹ Sweena's father's age = 18 + 55

⟹ Sweena's father's age = 73 years

$\sf{\underline{\boxed{\pink{\large{\mathfrak{Sweena's \: father's \: age \: = \: 73 years}}}}}}$

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