The sum of two numbers is 100 and their difference is 20. What is the value of bigger number?
2 Answers
Apr 23, 2018
Value of bigger number is 60, smaller number is 40.
Explanation:
Let the bigger number be x.
x + (x - 20) = 100, as the difference is 20.
Solving for x we get 60, which is the bigger number.
Alternatively, you can draw a bar model to illustrate but i feel algebras faster.
Apr 23, 2018
Explanation:
#"create 2 equations based on the given information"#
#"let x and y be the 2 numbers"#
#"with "x>y#
#rArrx+y=100to(1)larrcolor(blue)"sum of numbers"#
#rArrx-y=20to(2)larrcolor(blue)"difference of numbers"#
#"add (1)" and (2)" term by term"#
#(x+x)+(y-y)=(100+20)#
#rArr2x=120larrcolor(blue)"divide both sides by 2"#
#rArrx=60larrcolor(red)"the larger number"#