The ratio of two numbers is 4:5 and their sum is 180. Find the numbers.

Challenger App

Home/

Questions/

Mental Ability/

Syllogism

No.1 PSC Learning App

★

1M+ Downloads

Get App

The ratio of two numbers is 4:5 and their sum is 180. Find the numbers.

A70 and 90

B80 and 90

C80 and 100

D90 and 100

Answer:

C. 80 and 100

Read Explanation:

Let the two numbers be 4x and 5x.

Their sum is:

4x + 5x = 180
9x = 180
$x = \frac{180}{9} = 20$

Now find the numbers:

First number = $(4 \times 20 = 80)$
Second number = $(5 \times 20 = 100)$

Answer: $(\boxed{80 \text{ and } 100})$

Read more in App

Related Questions:

Direction: Two statements are followed by three conclusions I, II, and III. Assuming these statements to be true, even if they seem to be at variance from commonly known facts, then decide which of the given conclusions logically follows from the given statements.
Statement:
All Springs are brooks.
Some brooks are creeks.

No creek is tap.
Conclusions:
I. Some taps are creeks.
II. No spring is tap.
III. Some brooks are springs

Statements:

Some plants are rocks

No vegetabs is a plant

Conclusions:

(I) No vegetable is a rock

(Il) Some rocks are plants.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some pears are candles. All drillers are candles. Conclusions: (I): Some pears are drillers. (II): All candles are drillers

Identify the figure from the given options that when put in place of the question mark (?) will logically complete the series.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All almonds are crows. Some peanuts are razors. All razors are crows. Conclusions: (I): All peanuts are crows. (II): Some almonds are razors.