Question

Sum of three numbers is 1037 and
their ratio is 2:5:10. Find the
greatest number.
(a) 710
© 790
(b) 610
(d) 590​

Answer 1

Answer

The greatest number is 610.

[Option. (b) 610].

Step-by-step explanation:

To Find :-

• The greatest number.

★ Solution

Given that,

• The sum of three numbers = 1037
• The ratio of the numbers are 2:5:10

Let us assume the ratio of three numbers as (2x), (5x) and (10x),

∴ 2x + 5x + 10x = 1037

⇒ 2x + 5x + 10x = 1037

⇒ 7x + 10x = 1037

⇒ 17x = 1037

⇒ x = 1037/17

⇒ x = 61

We got, The value of x is 61.

The numbers are :-

• 2x = 2*61 = 122
• 5x = 5*61 = 305
• 10x = 10*61 = 610

Now, According the question,

• The greatest number :-

We got. 122, 305 and 610.

Hence, The greatest number = 610.

V E R I F I C A T I O N :-

• 2x + 5x + 10x = 1037

By putting the value of numbers [2x,5x,10x] in L.H.S :-

⇒ 2x + 5x + 10x

⇒ 122 + 305 + 610

⇒ 1037

Now, L.H.S = R.H.S = 1037

Hence, Verified!