20. The HCF and LCM of two numbers ...
Question

# 20. The HCF and LCM of two numbers are 45 and 270 respectively. If the ratio of the two numbers is 2:3 and smaller of the two numbers is X, then find x2. RRB NTPC (Phase I) 2016 (1) 2025 (2) 4225 (3) 8100 (4) 18225

11th - 12th Class
Maths
Solution
75
4.0 (1 ratings)
20. (3) According to the question, Ist number ( times ) lind number ( =mathrm{HCF} times mathrm{LCM} ) ( Rightarrow 2 times 45 x times 3 times 45 y=45 times 270 ) ( therefore quad x times y=frac{6}{6}=1 ) Hence, smaller number ( =2 times 1 times 45=90 ) ( x=90 ) ( therefore ) ( (x)^{2}=(90)^{2}=8100 )