The sum of two numbers is 78, and one of them is 14 more than the other. Find the numbers
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Step-by-step explanation:
The sum of two numbers is 78 and their difference is 14. Can you find the smaller number?
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Let the two numbers are, larger number x and smaller number y
The sum of two numbers is 78
x + y = 78…Eq..1
and their difference is 14.
x - y = 14
x = 14 + y…Eq..2
Substituting the value of x from Eq..2 to Eq. 1
x + y = 78
14 + y + y = 78
14 + 2y = 78
2y = 78 - 14
2y = 64
y = 64/2
y = 32
The smaller number is 32
Thus the larger number
x = 14 + y
x = 14 + 32
x = 46
The larger number is 46.
Answer the smaller number is 32
Now checking the correct ness of answer by taking sum of derived numbers
x + y = 78
46 + 32 = 78
78 = 78
Means answer is correct.
Answered by
0
Step-by-step explanation:
78÷2=39
39-14=25
78-25=53
No.1=53 No.2=25
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