Question

There are two numbers whose sum is 85.the greater number is 13 is more than the smaller.find the number ?

Answer 1

let larger no. be = x
another be = y

ATQ

x + y = 85. (1)
x = y +13. (2)
put eq (2) in (1)

then y+13+y = 85

2y = 85-13
2y = 72
y = 36
then x = 49

Answer 2

The smaller number is 36

The greater number is 49.

Given: There are two numbers whose sum is 85. The greater number is 13 is more than the smaller.

To Find: The numbers.

Solution:

Let the smaller number be 'x'.

It is said that the greater number is 13 more than the smaller.

So, the greater number is = x + 13

The sum of the numbers is = 85

From the above conditions, we can frame an equation;

   x + x + 13 = 85

⇒ 2x = 85 - 13

⇒ 2x = 72

⇒ x = 72 / 2

      = 36

So, the smaller number is 36

And the greater number is = x + 13 = 36 + 13

                                            = 49

Hence,

The smaller number is 36

The greater number is 49.

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