The sum of two numbers is 61. The larger number is17 more than the smaller number. What are the numbers? i need to find the small and large number can someone help me find them
Let x= small number
x+17= larger
add them since together they equal 61
x+x+17=61
combine like terms
2x+17=61
2x= 44
divide by 2
x=22 which is the small number
22+17= 39 which is the larger number
hope this helps
Answer:
22 and 39.
Step-by-step explanation:
Let x be the smaller number.
The larger number is 17 more than the smaller number.
Larger = x + 17
The sum of two numbers is 61.
\(x+(x+17)=61\)
\(2x+17=61\)
Subtract 17 from both sides.
\(2x=61-17\)
\(2x=44\)
Divide both sides by 2.
\(x=\dfrac{44}{2}\)
\(x=22\)
Smaller number is 22. So, the larger number is
\(x+17=22+17=39\)
Therefore, the two numbers are 22 and 39.