Question

3. Soni's brother is 8 years older than four-fifth of her age. If her brother's age is 32 years, what is Soni's age?


chapter name is simple linear equation
and pls do by step by step ​

Answer 1

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• Let the soni age be x years.
• soni brother be y years

According to question

$y = \frac{4x}{5} + 8$

Also,

y = 32 years

$\frac{4x}{5} + 8 = 32\\\\\frac{4x}{5} = 32 - 8\\\\\frac{4x}{5} = 24\\\\x = 24 \frac{5}{4}\\\\6 × 5\\\\30\: years$

Therefore,

• Sonali age is 30 years..

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Answer 2

Answer:

• Sonali's age is 30 years.

Step-by-step explanation:

Given :

• Sonali's brother is 8 years older than four-fifth of her age.
• Her brother's age is 32 years.

To Find :

• Sonali's age.

Calculations :

⠀⠀⠀⠀⠀⠀⠀⠀⠀☯ Let's consider Sonali's age as 'x'

And,

• Sonali's brother age is 4/5x + 8 years is 32 years [given in the question]

Here, we have to use simple linear equation method, So let's calculate the value of x [in order to find Sonali's age]

⇒ 4/5 + x + 8 = 32

⇒ 4/5x + 8 = 32

⇒ 4/5x = (32 - 8)

⇒ 4/5x = 24

⇒ x = (24 × 5)/4

⇒ x = 120/4

⇒ x = 30 years

Therefore,

• Sonali's age is 30 years.