Question

Divide 240 into two parts such that 5% of the first part is equal to 15% of the other part.​

Answer 1

Step-by-step explanation:

$let \: the \: numbers \: be \: x \: and \: y\\ x + y = 240 \: \: \: \: equ \: (1) \\ multiply \: with \: 5 \\ 5x + 5y = 1200 \: \: \: equ \: (2) \\ \\ 5\%x = 15\%y \\ x \times \frac{5}{100} = y \times \frac{15}{100} \\ \frac{5x}{100} = \frac{15y}{100} \\ 5x = 15y \\ 5x - 15y = 0 \: \: \: \: equ \: (3) \\ subtract \: (2) - (3) \\ we \: get \\ 20y = 1200 \\ y = \frac{1200}{20} = 60 \\ substitute \: y \: = 60 \: in \: equ \: (1) \\ x + y = 240 \\ x + 60 = 240 \\ x = 240 - 60 \\ x = 180$

x = 180 and y = 60

verification

x + y = 240

= 180 + 60

= 240

5% of x = 5/100 × 180 = 9

15% of y = 15/100 × 60 = 9

hope you get your answer