Five years ago, Anu was thrice as old as Sonu. After ten years, Anu will be twice as old as Sonu. How old are Anu and Sonu
Answers
Answer:
Let, Five years ago, Sonu's age = x
Anu's age = 3x After 10 Years, Sonu's age = x + 5 + 10 => x + 15
Nuri's age = 3x + 5 + 10 = 3x + 15According to the question, 3x + 15 = 2(x + 15)3x + 15 = 2x + 303x - 2x = 30 - 15x = 15
Present age of Sonu = x + 5 = 15+5 = 20 years
Present age of Anu = 3x+5 = 3(15)+5=45+5=50 years
PLS MARK ME AS BRAINLIEST
Answer:
Anu's age is 50 and Sonu's age is 20
Step-by-step explanation:
Let the present age of
Anu be = x
Sonu be = y
Step 1 -
x-5 = 3(y-5) [substracted five as five years ago]
x-5 = 3y-15 [opening bracket]
x = 3y-15+5 [transposing 5 to RHS and changing - to +]
x = 3y-10 [value of x]
Step 2 -
x+10 = 2(y+10) [added 10 as after ten years]
x+10 = 2y+20 [opening bracket]
3y-10+10 = 2y+20 [adding value of x as per step 1]
3y-2y = 20 [transposing 2y to LHS and changing + to -]
y = 20 [value of y and age of Sonu]
Step 3 -
x = (3×20)-10 [using the value of x and y]
x = 60-10
x = 50 [Age of Anu]
Hence, Anu is 50 years old and Sonu is 20 years old.