Math, asked by lavatem78, 7 months ago

Difference between ages of Amaan and Devang is 8 years(Amaan is elder). 10 years from now Amaan's age will be 26 years.
What is Devang's present age?​

Answers

Answered by bagkakali
2

Step-by-step explanation:

let Amon is now x years old

so,Devang is(x-8)years old

after 10 years x+10=26

x=26-10=16

Divang 's present age is (16-8)years=8years

Answered by MaIeficent
20

Step-by-step explanation:

\bf{\underline{\underline\red{Given:-}}}

  • Difference between the ages of Amaan and Devang is 8.

  • Amaan is elder than Devang.

  • 10 years from now Amaan's age will be 26 years.

\bf{\underline{\underline\blue{To\:Find:-}}}

  • The present age of Devang.

\bf{\underline{\underline\green{Solution:-}}}

Let the age of Amaan be x

And age of Devang be y

According to the 1st condition:-

Difference between the ages of Amaan and Devang is 8

So:-

\rm\pink{ \implies x - y = 8.......(i)}

According to the 2nd condition:-

10 years from now Amaan's age will be 26 years

10 years later:-

Age of Amaan = x + 10

\rm{ \implies x  +  10 = 26}

\rm{ \implies x   = 26 - 10}

\rm \implies x   = 16

Present age of Amaan = x = 16

Substituting x = 16 in equation (i)

 \rm \implies x  - y = 8

 \rm \implies 16  - y = 8

\rm \implies - y = 8 - 16

\rm \implies - y =  - 8

\rm \implies  y =  8

Therefore:-

\boxed {\orange{  \rm Present \: age \: of \: amaan =    16\: years}}

\boxed {\purple{  \rm Present \: age \: of \: Devang =    8 \: years}}

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