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primary 5 | Maths
| Rate & Ratio
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Date Posted: 4 years ago
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The average of the four numbers which add up to 46 is 11.5.
The average of the four numbers which add up to 112 is 28.
The four odd numbers must be around 28. Two of them are above 28 and two of them are below 28.
25, 27, 29, 31
The smallest one is 25.
The average of the four numbers which add up to 112 is 28.
The four odd numbers must be around 28. Two of them are above 28 and two of them are below 28.
25, 27, 29, 31
The smallest one is 25.
If first number is ⬛
2nd number is ⬛ + 2
3rd number is ⬛ + 2 + 2
4th number is ⬛ + 2 + 2 + 2
Total = ⬛⬛⬛⬛ + 12 = 112
⬛⬛⬛⬛ = 112 - 12 = 100
⬛ = 100 ÷ 4 = 25
2nd number is ⬛ + 2
3rd number is ⬛ + 2 + 2
4th number is ⬛ + 2 + 2 + 2
Total = ⬛⬛⬛⬛ + 12 = 112
⬛⬛⬛⬛ = 112 - 12 = 100
⬛ = 100 ÷ 4 = 25
You actually took model diagrams one step forward and managed to put a box in the chat area...
it's actually a black square symbol on the Android keyboard that the app somehow manages to show. Been doing it for a while already
Some other examples :
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⚫⚪●○■□⬜★☆◆◇▲△▶▷▼▽◀◁◐◐♀♂♤♡♧♢♠♥♣♦•❖✓✔✕✖✗✘✙✚✛✜✝✞✟✠✡✢✣✤✥✦✧✨✩✪✫✬✭✮✯✰✱✲✳✴✼✴✻✵✺✷✹✸✽❄✾❃✿❂❀❁❅❎❆❍❇❌❈❋❉❊❏◣❐◢❑○❒◊◈◉❧◥❦❢❥❤
See 1 Answer
The first/smallest odd number is 2 less than the second odd number, 4 less than the third odd number, and 6 less than the fourth/largest odd number.
So the sum of the consecutive odd numbers is the sum of 4 times the first/smallest odd number and the amount that the first/smallest odd number is less than each of the other odd numbers.
So 112 = 4 x the first/smallest odd number + 2 + 4 + 6
So 112 - 2 - 4 - 6 = 4 x the first/smallest odd number
So the first/smallest odd number = 100/4 = 25
So the 4 odd numbers are 25, 27, 29 and 31.
So the sum of the consecutive odd numbers is the sum of 4 times the first/smallest odd number and the amount that the first/smallest odd number is less than each of the other odd numbers.
So 112 = 4 x the first/smallest odd number + 2 + 4 + 6
So 112 - 2 - 4 - 6 = 4 x the first/smallest odd number
So the first/smallest odd number = 100/4 = 25
So the 4 odd numbers are 25, 27, 29 and 31.
Thx
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