Question

The sum of two number is 151 if four time the smaller number is subtracted from the larger number the result is 11 find the two numbers ? The larger number is The smaller number is

Answer 1

Step 1 :

In this question, we are given that :

The sum of the two numbers is 151 ,

`x\text{ + y = 151 --- equation 1}`

Then,

if four times the smaller number is subtracted from the larger number,

the result is 11 .

`x\text{ - 4y = 11 --- equation 2}`

Step 2 :

We need to solve the two systems of equations using the substitution method:

`\begin{gathered} x\text{ + y = 151 ---equation 1} \\ x\text{ - 4y = 11 --- equation 2} \\ \text{From equation 2, we have that:} \\ x\text{ = 11 + 4y -- equation 3} \end{gathered}`
`\begin{gathered} \text{Putting equation 3 in equation 1 , we have that :} \\ x\text{ + y = 151} \\ (\text{ 11 + 4y ) + y = 151} \end{gathered}`