Question

The sum of two numbers is 67. Their difference is 15. Find the numbers.

Answer 1

Answer:-

Let the numbers be a and b

ATQ

$\\ \sf\longmapsto a+b=67\dots(1)$

$\\ \sf\longmapsto a-b=15\dots(2)$

Adding both

$\\ \sf\longmapsto 2a=82$

$\\ \sf\longmapsto a=\dfrac{82}{2}$

$\\ \sf\longmapsto a=41$

Putting in eq(1)

$\\ \sf\longmapsto 41+b=67$

$\\ \sf\longmapsto b=67-41$

$\\ \sf\longmapsto b=26$

• The numbers are 41 and 26.

Answer 2

Answer:

let the numbers be x and y

according to the question

x + y = 67

x - y = 15

so, x + y + x - y = 67 + 15

2x = 82

x = 82/2

x = 41

so, y = 67 - 41

= 26

The numbers are 41 and 26