Question

Raj is 5 years younger than Ravi. 4 years later, Ravi will be twice as old as Raj. Find their present ages
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Answer 1

Correct Question :-

Raj is 5 years younger than Ravi. 4 years later, Ravi will be twice as old as Raj. Find their present ages.

Correct Answer :-

$\longmapsto\sf{Let\:Present\:Age\:of\:Ravi\:be=x}$

As Given that Raj is 5 years younger than Ravi . So ,

$\longmapsto\sf{Present\:Age\:of\:Raj=x-5}$

After 4 years :

$\longmapsto\sf{Age\:of\:Ravi=x+4}$

$\longmapsto\sf{Age\:of\:Raj=x-5+4=x-1}$

A.T.Q :

$\longmapsto\sf{2(x-1)=x+4}$

$\longmapsto\sf{2x-2=x+4}$

$\longmapsto\sf{2x-x=4+2}$

$\blue\longmapsto\large\underline{\boxed{\bf\blue{x=6}}}$

• Value of x is 6.

Therefore :

$\longmapsto\sf{Present\:Age\:of\:Ravi=x}$

$\longmapsto\sf\bf{6\:yrs}$

$\longmapsto\sf{Present\:Age\:of\:Raj=6-5}$

$\longmapsto\sf\bf{1\:yr.}$

∴ Hence, present age of Ravi will be 6 years and present age of Raj will be 1 year.

@MrCyber