Sum of two numbers is 103. If greater number is divided by smaller number then the quotient is 2 and the remainder is 19. Then find the numbers.
Answers
answer 74 and 29
Step-by-step explanation:
Let a = the larger # and b = the smaller #.
Eq 1) a + b = 103
Eq 2) a - 2b = 16 Rearrange this equation to solve for a.
a = 16 + 2b Substitute this equation into Eq 1), you get
16 + 2b + b = 103
3b = 103 - 16
3b = 87
b = 87 / 3 = 29 (smaller #)
a = 16 + 2b
= 16 + 2(29)
= 16 + 58 = 74 (the larger #)
To confirm, a + b = 103
74 + 29 = 103
Answer:
Given
Sum of two numbers = 103
If greater number if divided by smaller number.
Quotient = 2
Remainder = 19
To find
The numbers
Solution
↪ Let the numbers be x and y and y is greater among them.
↪ If greater number if divided by smaller number,
y/x
↪ Quotient,
2
↪ Remainder,
19
We know,
Dividend = Divisor × Quotient + Remainder
We get,
y = 2x + 19
ATP,
Sum of two numbers = 103
x + 2x + 19 = 103
3x + 19 = 103
3x = 103 - 19
3x = 84
x = 84/3
x = 28
Hence , the value of x is 28.
Now,
x + y = 103
28 + y = 103
y = 103 - 28
y = 75
Hence, the greater number (y) = 75
and, the smaller number (x) = 28
Step-by-step explanation:
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