Question

The sum of two numbers is 60.The greater number is 8 more than the thrice the smaller number. Find the numbers.....



Answer = 47 and 13.....

Answer 1

let the numbers be x and y.

x=3y+8     (GIVEN)

X+Y=60   (")

∴By substituting

x+3x+8=60

4x=60-8=52

∴x= 52/4=13

y=60-x=60-13

=43

Answer 2

Let two numbers be x be the smaller number and y be the greater number.
From first condition,
x+y=60

From 2nd condition,
3x+8 =y
3x-y =-8
Adding equation 1 and 2
x+y=60
+3x-y =-8
x=13
substituting x=13 in equation 1
x+y=60
13+y=60
y=60-13
y=47
smaller number is 13 and greater number is 47