Question

Solve the following word problem by modelling them into linear equation: sum of two numbers is 160 and their ratio is 2:6 . Find the numbers

Answer 1

Step-by-step explanation:

Given:-

Sum of two numbers is 160 and their ratio is 2:6

To find:-

Find the numbers ?

Solution:-

Given that

The ratio of two numbers = 2:6

Let they be 2X and 6X

Given that

Sum of two numbers = 160

=> 2X +6X = 160

=> 8X = 160

=> X = 160/8

=.> X = 20

2X = 2×20=40

6X = 6×20 = 120

The numbers = 40 and 120

Answer:-

The required two numbers for the given problem are 40 and 120

Check:-

Sum of them = 40+120=160

Their ratio = 40:120

=> (2×20):(20×6)

=> 2:6

Verified the given relations