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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

User Jovaun
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1 Answer

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17 votes

SOLUTION

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}
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User Ruchir Bharadwaj
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