Question

1) SIX MORE THAN FOUR TIMES A NUMBER IS LESS THAN FIVE TIMES THE NUMBER. FIND THE NUMBER.
2) THE DIFFERENCE BETWEEN THE SQUARES OF TWO CONSECUTIVE NUMBERS IS 141.FIND THE NUMBERS.
3) THE DIFFERENCE BETWEEN THE SQUARES OF TWO CONSECUTIVE EVEN NUMBERS IS 36 .FIND THE NUMBERS.
4) THE DIFFERENCE BETWEEN THE SQUARES OF TWO CONSECUTIVE ODD NUMBERS IS 56 .FIND THE NUMBERS.
5) THE SUM OF TWO NUMBERS IS 90.ONE THIRD OF THE LARGER NUMBER IS 9 MORE THAN TWICE THE SMALLER ONE. WHAT ARE THE NUMBERS?

Answer 1

Answer:

Let the consecutive numbers be n,n+1

Given difference between their squares is 31

⟹(n+1)

2

−n

2

=31

⟹2n+1=31⟹n=15

The consecutive numbers are 15,16