Question

Sum of two number is 112 and their difference is 62. Find the number ​

Answer 1

Answer:

87 and 25

Step-by-step explanation:

Let the 2 numbers be x and y

Their sum is 112, so x+y = 112

Their difference is 62, so x-y = 62

Adding both the equations----->

x+y + x - y = 112 + 62

2x = 174

x = 87

Now, substituting x value in any of the equations, to find y(Suppose eqn 1)

87 + y = 112

y = 112- 87

y = 25

Thus, x=87 and y=25

Verification---->

Substitute the answers in the 2nd equation and see if it satisfies.

x-y = 62

87 - 25 = 62

62 = 62,  Thus satisfies

Hope it helps!

Answer 2

$\sf \Large Solution!!$

We know that the sum of two numbers is 112 and their difference is 62. So, we can assume the numbers as x and y and then two equations will be formed. We can easily find out the values and hence, the numbers.

$\sf \to x+y=112\dots (i)$

$\sf \to x-y=62\dots (ii)$

Now, subtracting these equations, we get,

$\sf 2y=50$ (Explained in the attachment that how we got this)

$\sf \to y=25$

Now putting the value of y in the (i) equation, we get,

$\sf \to x+y=112$

$\sf \to x+25=112$

$\sf \to x=112-25$

$\sf \to x=87$

So, the two numbers are 87 and 25.