Question

a number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:3, find the number and the two parts

Answer 1

6 is the other part
the number is 16

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

One part of number

= p

Hence,

Other part of number

= p + 10

${\boxed{\sf\:{Situation\;would\;be\;like :-}}}$

$\tt{\rightarrow\dfrac{p+10}{p}=\dfrac{5}{3}}$

3(p + 10) = 5p

3p + 30 = 5p

30 = 5p - 3p

30 = 2p

$\tt{\rightarrow p=\dfrac{30}{2}}$

p =15

${\boxed{\sf\:{One\;part\;of\;number}}}$

= 15

${\boxed{\sf\:{Other\;part}}}$

=15 + 10

= 25

Therefore,

${\boxed{\sf\:{Number}}}$

= 15 + 25

= 40