Question

Three numbers are in ratio of 3:4:5. If the sum of their squares is 2450, then what
. are those numbers?
(1) 18.24,30
(2) 21,28,35
(3) 27,36,45
(4) 15.20,25​

Answer 1

Answer:

LET THE NO. BE 3x , 4x , 5x

ATQ ,

$(3x) {}^{2} + (4x) {}^{2} + (5x) {}^{2} \: = 2450$

$9x{}^{2} + 16x {}^{2} + 25x {}^{2} = 2450$

$50x {}^{2} = 2450$

$x {}^{2} = 2450 \div 50$

$x {}^{2} = 49$

$x = \sqrt{49}$

$x = 7$

THEN THE NO. ARE

3x = 7×3 = 21

4x = 4×7 = 28

5x = 5×7 = 35

RATIO OF NO. = 21:28:35✅