Question

the sum of two natural no is 25 and their difference is 7 . the numbers are ... 1) 17,8 2) 16,9 3) 18,7 4) 15,10​

Answer 1

Answer:

Let the number be x

thus

one no is x

second no is x+7

therefore x+x+7=25

2x+7=25

2x=25-7

2x=18

x=18÷2

x=9

so one no is 9

another 9+7

16

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the two numbers be x and y respectively

According to the question,

$x + y = 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1)$

$x - y = 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)$

Adding both the equations

$x + \not y = 25 \\ x - \not y = 7 \\ \underline{ + \: \: \: \: \: - \: \: \: \: \ \: + } \\ 2x = 18$

$x = \frac{18}{2}$

$\boxed{ \boxed{x = 9}}$

Put the value of x in equation 1

$9 + y = 25$

$y = 25 - 9$

$\boxed{ \boxed{y = 16}}$

Hence the numbers are 9 and 16,and option a is correct one