Question

Arpit is twice as old as Pramita. If Arpit was 2½ times as old as Pramita was 6 years ago, find their present ages.​

Answer 1

Answer:

This is ur answer.

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Answer 2

QUESTION-:

Arpit is twice as old as Pramita. If Arpit was 2½ times as old as Pramita was 6 years ago, find their present ages.​

EXPLANATION-:

Let the present age of Parmita be x years

and that of Arpit be 2x years

_____6 YEARS AGO____

Parmita age=x-6 years

Arpit age=2x-6 years

A.T.Q,

$\rightarrow \sf\; Arpit's\;age=2\frac{1}{2}(parmita's\;age})\\\\\rightarrow \sf\;2x-6=2\frac{1}{2}(x-6)\\\\\rightarrow \sf\;2x-6=\frac{5}{2}x-15\\\\\rightarrow \sf\;2x-\frac{5}{2}x=-15+6\\\\\rightarrow \sf\;\frac{4x-5x}{2}=-9 \;\;\;\;\;(LCM=2)\\\\\rightarrow \sf\; 4x-5x=-18\\\\\rightarrow \sf\; -x=-18\\\\\implies \boxed{\bigstar\bf\; x=18 \bigstar}$

Therfore parmita=x=18 years  

Arpit=2x=2(18)=36 years

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