15.Sum of two numbers is 81. If one is twice the other, then fill in the blanks.
(a) If smaller number is x, the other number is _____ (5 marks)
(b) The equation formed is_____ .
(c) The solution of the equation is _____ .
(d) The numbers are _____ and ____
Answers
★Qᴜᴇsᴛɪᴏɴ :-
Sum of two numbers is 81. If one is twice the other, then fill in the blanks.
★Tᴏ ғɪɴᴅ :-
(a) If smaller number is x, the other number is _____ (5 marks)
(b) The equation formed is_____ .
(c) The solution of the equation is _____ .
(d) The numbers are _____ and ____
★Sᴏʟᴜᴛɪᴏɴ :-
Let one of the number be 'x' .
It is given that other number is twice of 1st number.
(a)So, other number will be '2x'.
We know that sum of these two number is 81.
That means....
(b) Equation formed is x + 2x = 81
➪x + 2x = 81
➪3x = 81
➪x = 27
(c) Solution of equation is ....x= 27
One of the number 'x' = 27
Other number is '2x' = 2×27 = 54
(d) The numbers are 27 and 54.
★Vᴇʀɪғɪᴄᴀᴛɪᴏɴ :-
We will add the two numbers and the sum should be 81.
so,
27 + 54
= 81..........(verified)
Answer:
(a) 2x
(b) 2x + x = 81
(c) 27
(d) 27 and 54
let the number be X, so the other number will be 2x.
2x + x = 81.
3x =81.
x = 81÷3
x=27.
2x=2×27= 54.