The sum of the ages of Raj and Ben is 37 years. 5 years ago, Raj's age was twice of Benn. Find their present ages. (STEP BY STEP ANSWER PLEASE)

Raj is 27 yrs and Be is 14 yrs

Step-by-step explanation:

let the age of Raj be x and Ben be y

case_1

x + y =37

x = 37 - y

case_2

x - 5 = 2(y -5)

x-5 = 2y -10

37 - y -5 = 2y - 10

32 + 10 = 2y + y

42 = 3y

y = 14 yrs

now,

x = 37 - 14

x = 27

Let x and y be present age of Raj and that of Ben respectively.

1. x+y=37

2. x-5=2(y-5)

from 2

x-5=2y-10

x=2y-5

Sub x=2y-5 into 1

2y-5+y=37

y=14

put y=14 into x=2y-5

x=2(14)-5

x=23

Thus, present age of Raj and Ben are 23 and 14 respectively.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)