Question

The ages of Rahul and Laxmi are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages?

Answer 1

Age Of Rahul =5x
age of laxmi=7x

four years later
age of rahul=5x+4
age of laxmi=7x+4

sum of their ages=56
5x+4+7x+4=56
12x+8=56
12x=48
x=4

age of rahul=4 x 5=20
age of laxmi=4 x 7 =28

Answer 2

$\circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\fbox{\fbox{\Large{\underline{\textbf{QUESTION}}}}}}}}}\circ\circ\circ\circ\\\\ \\\\The\:ages\:of\:Rahul\:and\:Laxmi\:are\:in\:the\:ratio\:5:7.\:Four\\\\years\:later,\:the\:sum\:of\:their\:ages\:will\:be\:56\:years.\:What\:are\\\\their\:present\:ages?$

$\\\\ \circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\fbox{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}}}}}\circ\circ\circ\circ$

$\\\\Let\:the\:present\:age\:of\:Rahul\\\\=5x\:years.\\\\ And\:Laxmi's\:present\:age\\\\=7x\:years.\\\\Four\:years\:later,\\\\Rahul's\:age=(5x+4)yr\:and\\\\Laxmi's\:age=(7x+4)\\\\According\:to\:the\:question,\:we\:get\\\\5x+4+7x+4=56\\\\\implies12x+8=56\\\\\implies12x=48\\\\\impliesx=4\:year\\\\Hence\:present\:age\:of\:Rahul=4\times5=20\\\\and\:present\:age\:of\:Laxmi=4\times7=28$