Question

Find two positive numbers in the ratio 2 is to 5 such that their difference is 15

Answer 1

Here is your answer

$\rule{135}{2}$

Let the numbers in the ratio be 5x and 2x

Their difference = 15

According to the question,

5x - 2x = 15

3x = 15

x = $\frac{15}{3}$

x = 5

1st number = 5x = 5 * 5 = 25

2nd number = 2x = 2 * 5 = 10

Answer 2

$\large \tt AHOY!!! \\ \\ \sf according \: to \: the \: question, \: two \: \\ \sf positive \: \sf numbers \: in \: the \: ratio \: 2 \: is \\ \sf to \: 5 \: and \: their \: \sf difference \: is \: 15. \\ \\ \sf let \: the \: two \: numbers \: be \: 2x \: and \: 5x \\ \sf respectively. \\ \\ \sf\therefore \: 5x - 2x = 15 \\ \\ \sf = > 3x = 15 \\ \\ \sf = > x = \frac{15}{3} \\ \\ \sf = > x = 5 \\ \\ \sf hence \: the \: two \: numbers \: are : - \\ \\ \sf > > 2x = 2 \times 5 = 10 \\ \sf > > 5x = 5 \times 5 = 25 \\ \\ \sf > > \boxed{10 : 25} \\ \\ \large \tt HOPE IT HELPS!!$