Two Values Are In The Smallest Ratio 4:5 And Their LCM Is 180. What Is The Smaller Value?

Two values are in the smallest ratio 4:5 and their LCM is 180. What is the smaller value?

Explanation

Let the two values be 4x and 5x.

Since 4 and 5 are co-prime:

$L CM (4 x, 5 x) = 20 x$ $20 x = 180$ $x = 9$

Smaller value:

$4 x = 4 \times 9 = 36$

$Last updated on 23-07-2026 by NA$

Related MCQs

A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

75000
9000
95000
55000

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Explanation

Profit is divided according to Capital × Time.

A = $20,000 times 24 = 480,000$
B = $15,000 times 24 = 360,000$
C = $20,000 times 18 = 360,000$

Ratio:

$480000:360000:360000=4:3:3$

Total parts: