the present age pf a and b are in the ratio 7:5 and 10 years later their age will be in the ratio 9:7 find the present age please upload in pen paper form or in full method
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the present age pf a and b are in the ratio 7:5 and 10 years later their age will be in the ratio 9:7 find the present age please upload in pen paper form or in full method
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Given:
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To find:
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☯ Let's consider the present age of A and B be 7x and 5x respectively.
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[tex]\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}\\ \\[/tex]
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Their ages after 10 years,
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Therefore,
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[tex]:\implies\sf \dfrac{7x + 10}{5x + 10} = \dfrac{9}{7}\\ \\[/tex]
[tex]:\implies\sf 7(7x + 10) = 9(5x + 10)\\ \\[/tex]
[tex]:\implies\sf 49x + 70 = 45x + 90\\ \\[/tex]
[tex]:\implies\sf 49x - 45x = 90 - 70\\ \\[/tex]
[tex]:\implies\sf 4x = 20\\ \\[/tex]
[tex]:\implies\sf x = \cancel{ \dfrac{20}{4}}\\ \\[/tex]
[tex]:\implies{\underline{\boxed{\frak{\purple{x = 5}}}}}\;\bigstar\\ \\[/tex]
Hence,