Math, asked by sureshkumar75728, 2 months ago

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The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.​

Answers

Answered by zobiyasayyed
5

Step-by-step explanation:

Let the present age of Sonu be 7x years

Present age of Monu be 5x years

Sonu’s age after 10 years = (7x + 10) years

Monu’s age after 10 years = (5x + 10) years

So, (7x + 10) / (5x + 10) = 9/7

by using cross-multiplication we get,

7(7x + 10) = 9(5x + 10) 49x + 70

= 45x + 90 49x – 45x

= 90 – 70 4x

= 20 x

= 20/4 = 5

∴ Present age of Sonu is 7x = 7(5) = 35years

Present age of Monu is 5x = 5(5) = 25years

Answered by harsh24567
41

\huge{ \underline{ \mathtt{ \red{❥A} \pink{n}\green{S} \blue{W} \purple{E \orange{R}}}}}

Let  \: the \:  present  \: age  \: be \:  7x \:  and  \: 5x</p><p>

After 10 year

age \: ofsonu = 7x + 10

age \: of \: monu \:  = 5x + 10

According to the question

 =  &gt;  \frac{7x + 10}{5x + 10}  =  \frac{9}{7}

By  \: cross  \: multiplication

  =  &gt; 7(7x + 10) = 9(5x + 10)

 =  &gt; 49x + 70 = 45 + 90

 =  &gt; 49x - 45x = 90 - 70

 =  &gt; 4x = 20

 =  &gt; x =  \frac{20}{4}

 =  &gt; x = 5

Present age of Sonu = 7x= 7×5= 35years

Present age of Monu = 5x= 5×5= 25years

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