Question

17) The difference between two numbers is 15. Taking the smaller number as x, find
(i) the expression for the larger number.
(ii) the larger number if the sum of these numbers is 71​

Answer 1

(i).          $y=x+15$

(ii).         $y=43$

Step-by-step explanation:

Let  smaller number, x ,and larger number ,y,

$y-x=15$        (1) given

(i).    

Expression for larger number is

$y=x+15$

(ii).

$y+x=71$       (2)     given

add (i) and (ii) equation

(i)+(ii)

$y-x+y+x=15+71$

$2y=86$

$y=43$

larger number is $43$    and smaller number is $28$

$x=y-15$

$x=43-15=28$

Answer 2

i) The expression for the larger number is (15 - x).

ii) The expression for the larger number is (71 - x).

Step-by-step explanation:

17) . i) Given,

The smaller number = x

∴ The  larger number =  (15 - x)

Thus, the expression for the larger number is (15 - x).

17) . ii) Given,

The smaller number = x

∴ The  larger number =  (71 - x)

Thus, the expression for the larger number is (71 - x).