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Answer :
Answer:
Step-by-step explanation:
let x , y two numbers : x+y =172.....(1)
x - y = 10...(2)
add (1) and (2) :2x= 182
so : x = 182/2= 91
put x = 91 in (1) : 91+y =172
y = 172 - 91 = 81
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Answer:
The numbers are 91 and 81
Step-by-step explanation:
Let:
x be the first number.
y be the second number.
The sum of two numbers is 172.
x + y = 172
Their difference is 10.
x - y = 10
Try to arrange for solving x:
x - y = 10
x = 10 + y
Now substitute the x to the first equation.
x + y = 172
(10 + y) + y = 172
10 + y + y = 172
10 + 2y = 172
2y = 172 - 10
2y = 162
y = 162 ÷ 2
y = 81
Now solve for x:
x + y = 172
x + (81) = 172
x = 172 - 81
x = 91
Now let's check one more time:
The sum of two numbers is 172:
91 + 81 = 172
172 = 172 (correct)
Their difference is 10:
91 - 81 = 10
10 = 10 (correct)
