Question

12. Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between the new numbers formed is 5:7. Find the original number.
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Answer 1

${\mathfrak{\pink{\underline{\underline{Answer:-}}}}}$

$\sf{Two\;Numbers\;are\;15\;and\;25.}$

${\mathfrak{\pink{\underline{\underline{Explanation:-}}}}}$

$\sf{Let\;two\;numbers\;be\;3x\;and\;5x.}$

$\sf{now,if\;each\;is\;increase\;by\;10,then}$

$\sf{\dfrac{3x+10}{5x+10}=\dfrac{5}{7}}$

$\sf{\implies 21x+70=25x+50}$

$\sf{\implies 21x-25x=50-70}$

$\sf{\implies -4x=-20}$

$\sf{\implies x=5}$

$\sf{Thus,the\;two\;numbers\;are:}$

$\sf{3x=15}$

$\sf{5x= 25}$