Question

A positive number is 5times
another number if 21 is added
to both the number's, the
one of
the new number's becomes twice
the other number What are the
numbers?
are the​

Answer 1

the two numbers are 7 and 35

when we add 21 to both then the one number is twice the another number

Answer 2

$\bf \underline{ \underline{\maltese\:Given} }$

A positive number is 5 × another number. If 21 is added to both the numbers, then one of the new numbers become twice the other number.

$\bf \underline{\underline{\maltese\: To \: find }}$

$\sf \implies Both \: the \: numbers = \: ?$

$\bf \underline{\underline{\maltese\: Solution }}$

$\sf \implies Let \: one \: of \: the \: number \: be \: x$

$\sf \implies Then, the \: another \: number \: will \: be \: 5 \times x$

21 is added to both the numbers,then one of the new numbers becomes twice the other new number.

$\bf \underline{ New \: numbers \: will \: be} :$

$\sf \implies First \: number = \bf(x + 21)$

$\sf \implies Second \: number = \bf (5 x + 21)$

$\bf \underline{Now},$

$\bf \implies 5 x + 21 = 2(x + 21)$

$\sf \implies 5 x + 21 = 2x + 42$

$\sf \implies 5x \: - \: 2x = 42 \: - \: 21$

$\sf \implies 5x \: - \: 2x = 21$

$\sf \implies 3x = 21$

$\sf \implies x = \dfrac{21}{3}$

$\sf \implies x = 7$

$\bf \underline{Therefore},$

$\implies \sf First \: number = \bf x = 7$

$\sf \implies Second \: number = \bf 5x = 5 \times 7 = 35$