Question

sum of two numbers is 15 and their differences is 13 .find the number difference 13 .find the number

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Answer 1

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• Sum of two numbers is 15 and their difference is 13. Find the number.

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Let the numbers be x and y.

Therefore,

$\sf x + y = 15 \: ...(i)$

$\sf x - y = 13 \: ...(ii)$

Adding both the equations, we get,

$\sf2x = 28$

$\sf \implies x = 14$

Now,

$\sf x + y = 15$

$\sf \implies 14 + y = 15$

$\sf \implies y = 1$

Therefore,

$\boxed{ \sf x = 14 \: and \: y = 1}$

Answer 2

Answer:

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»Question:-

• sum of two numbers is 15 and their differences is 13 .find the number difference 13 .find the number

»Answer:-

Step-by-step explanation:

Given:-

• Given that sum of two numbers is 15
• The number has difference of 13

»To Find out:-

• The numbers mentioned in question

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»Solution :-

• Let the numbers be x and y

• Since the numbers are x and y according to the Question ____
• x+y = 15 and x-y = 13

• Now solve equation B for x to get the revised equation B:

• x - y = 13
• x = 13-y---(1)

Then substitute x in equation A from the revised equation B and then solve for y:

• x+y = 15
• 13+y+y= 15
• 2y = 15-13
• 2y = 2
• so, y = 1

We get y = 1

Now we know y is 1. Which means that we can substitute y for 1 in equation A and solve for x:

• x+y = 15
• x +1 = 15
• x = 15-1
• x = 14

»Final Answer«

Thus we get the two numbers as 14 and 1

Hence the two numbers are :- 14 and 1

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