Question

hii guys please answer my 20 question

Answer 1

Hello!!
here is your answer ....
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7:5
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Let their age be = x

So,
present age of Sonal be = 7 x
present age of Manoj be= 5 x

$<b><i><u>After 10 years </b></i></u>$

Age of Sonal = 7x + 10
Age of Manoj= 5 x + 10

After 10 years ratio of their ages = 9:7
So ,
Sonal age = 9x
Manoj age = 7x

A/q

$<b><i><u>7x+10 / 5x+10=9x/7x </b></i></u>$

x and x will be cancelled with each other on RHS

By cross multiplying

$<b><i><u>7(7x+10)=9(5x+10) </b></i></u>$

$<b><i><u>49x+70=45x+90 </b></i></u>$

$<b><i><u>49x -45x=90-70 </b></i></u>$

$<b><i><u> 4x=20</b></i></u>$

$<b><i><u>x = 20/4</b></i></u>$

x=5

So,
present age of Sonal = 7x ➡ 7(5) ➡ 35 years

present age of Manoj = 5x ➡ 5(5) ➡ 25 years

$\mathbb{\huge{HOPE\: IT \:HELPS }}$