The both numbers are 27 and 119
Step-by-step explanation:
The given is:
We need to find the both numbers
Assume that the smaller number is x
∵ The small number = x
∵ The larger number is sixteen less than five times the smaller number
- Multiply the smaller number by 5 and subtract 16 from it
∴ The larger number = 5 x - 16
∵ The sum of two numbers is 146
- Add the two numbers and equate the sum by 146
∴ x + (5 x - 16) = 146
∴ x + 5 x - 16 = 146
- Add like terms
∴ 6 x - 16 = 146
- Add 16 to both sides
∴ 6 x = 162
- Divide both sides by 16
∴ x = 27
∴ The smaller number is 27
∵ The larger number = 5x - 16
- Substitute x by 27
∴ The larger number = 5(27) - 16 = 135 - 16 = 119
∴ The larger number is 119
The both numbers are 27 and 119
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