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If each number were multiplied by four, their sum would be 172. What are the two numbers?

1 Answer

4 votes
There are a lot of choices for the two numbers; this is because no other condition has been placed on the numbers to pinpoint the exact numbers required.

x = 1st number
y = 2nd number

The equation would be:
4(x+y) = 172

4(x+y)/4 = 172/4
x + y = 43

If we get the value of x. then, x = 43 - y
Substitute x by its value

43 -y + y = 43
43 = 43
y = 0

If y = 0 then x = 43 to get the sum of 43

x y x + y 4x 4y 4x + 4y
43 0 43 172 - 172
42 1 43 168 4 172
41 2 43 164 8 172
40 3 43 160 12 172
39
4 43 156 16 172

38
5 43 152 20 172

37
6 43 148 24 172

36
7 43 144 28 172

35
8 43 140 32 172

34
9 43 136 36 172

33
10 43 132 40 172

32
11 43 128 44 172

31
12 43 124 48 172

30
13 43 120 52 172

29
14 43 116 56 172

28
15 43 112 60 172

27
16 43 108 64 172

26
17 43 104 68 172

25
18 43 100 72 172

24 19 43 96 76 172

23
20 43 92 80 172

22
21 43 88 84 172
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