Question

The sum of two numbers is 51. The smaller number is 17 less than the larger number. What are the numbers?

Larger number
smaller number

Answer 1

Let get large number is x and small number as y.

sum of two numbers is 51.(small number + large number = 51)

ie. x +y =51 --------(1)

The smaller number is 17 less than the larger number.

x-y = 17 ------------(2)

(1) +(2);

(x + y ) + (x - y) = 51 +17

2x = 68

x=34

Substituted for (1);

x + y =51

34 + y =51

y= 51 -34

y= 17

Explanation:

Answer 2

smaller number = 17, larger number = 34

Explanation:

Let x be the smaller number and y be the larger nuber

x + y = 51 --(1)

y - 17 = x --(2)

Sub (2) into (1)

y - 17 + y = 51

y = 34

Put y = 34 into (2)

34 - 17 = x

x = 17

Ans: smaller number = 17, larger number = 34