Ten years later, Nuri will be twice as
old as Sonu. How old are Nuri and Sonu?
Go The sum of the digits of a two-digit number is 9. Also, nine times this number is
twice the number obtained by reversing the order of the digits. Find the number.
(iv) Meena went to a bank to withdraw * 2000. She asked the cashier to give her
Answers
Answer:
x=50
Step-by-step explanation:
Let the present age of Nuri = x year
And present age of Sonu = y year
Five years ago
Age of Nuri = x – 5 years
Age of Sony = y – 5 years
Nuri was thrice as old as Sonu
x- 5 = 3(y – 5)
x – 5 = 35 – 15
x – 3y = -15 + 5
x – 3 y = - 10 ………..(1)
Ten years later,
Age of Nuri = x + 10
Age of Sonu = y + 10
Nuri will be twice as old as Sonu.
x+ 10 = 2(y+10)
x + 10 = 2y + 20
x – 2y = 10 ………..(2)
x – 3 y = - 10 ………..(1)
Subtracting equation (1) from equation (2) we get
y = 20
Plug this value in equation first we get
x - 3* 20 = -10
x = 60 – 10
x=50
Given :-
The sum of digits f a two digit number is 9.
Also nine times this number is twice the number obtained by reversing the order of digit.
To Find :-
The Number
Let the unit digit and tens digits of the number be x and y
Number = 10y + x
Number after reversing the digits = 10x + y
A.T.Q
⇒ x + y = 9 ... (i)
⇒ 9(10y + x) = 2(10x + y)
⇒ 88y - 11x = 0
⇒ -x + 8y =0 ... (ii)
Adding equation (i) and (ii), we get
⇒ 9y = 9
⇒ y = 1 ... (iii)
Putting the value in equation (i), we get
⇒ x = 8
Hence
the number is 10y + x = 10 × 1 + 8 = 18.